Pith Number

pith:TO6WLACS

pith:2006:TO6WLACSKHJLLNK446YLXIEHKB

not attested not anchored not stored refs pending

Being serious about non-commitment: subgame perfect equilibrium in continuous time

Ali Lazrak, Ivar Ekeland

arxiv:math/0604264 v1 · 2006-04-12 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TO6WLACSKHJLLNK446YLXIEHKB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

4 papers in Pith

Deterministic Policy Gradient for Learning Equilibrium in Time-Inconsistent Control Problems

Mean-field game of mean-variance portfolio optimization with peer-based risk aversion

Beyond the Bellman Recursion: A Pontryagin-Guided Framework for Non-Exponential Discounting

Receipt and verification

First computed	2026-07-04T14:54:35.785537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bbd65805251d2b5b55ce7b0bba08750486a79e75d70b865c9a7280470c6cc49

Aliases

arxiv: math/0604264 · arxiv_version: math/0604264v1 · doi: 10.48550/arxiv.math/0604264 · pith_short_12: TO6WLACSKHJL · pith_short_16: TO6WLACSKHJLLNK4 · pith_short_8: TO6WLACS

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TO6WLACSKHJLLNK446YLXIEHKB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9bbd65805251d2b5b55ce7b0bba08750486a79e75d70b865c9a7280470c6cc49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5a463e7e6eb72e6b2dbebcd9c4c923dde6c975cd7bb08966a0b8cae14619a3f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2006-04-12T01:18:35Z",
    "title_canon_sha256": "b4c7f68990fb85f92076ee4f11618fae6a8bdaba7ca8a812457f382b66c3723f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604264",
    "kind": "arxiv",
    "version": 1
  }
}