Pith Number

pith:M3DU7AVQ

pith:2015:M3DU7AVQ3JXGCUYUDA7DCDIZYP

not attested not anchored not stored refs pending

On asymptotic value for dynamic games with saddle point

Dmitry Khlopin

arxiv:1501.06933 v1 · 2015-01-27 · 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{M3DU7AVQ3JXGCUYUDA7DCDIZYP}

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.

Receipt and verification

First computed	2026-05-18T02:28:30.768153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66c74f82b0da6e615314183e310d19c3e0e9aaf1e49c49ab224ec2d59747d94c

Aliases

arxiv: 1501.06933 · arxiv_version: 1501.06933v1 · doi: 10.48550/arxiv.1501.06933 · pith_short_12: M3DU7AVQ3JXG · pith_short_16: M3DU7AVQ3JXGCUYU · pith_short_8: M3DU7AVQ

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/M3DU7AVQ3JXGCUYUDA7DCDIZYP \
  | 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: 66c74f82b0da6e615314183e310d19c3e0e9aaf1e49c49ab224ec2d59747d94c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e456508e7e9098cd5c53feecb4307acc9cee2c68297650aa552516d69b53854",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-01-27T21:32:16Z",
    "title_canon_sha256": "ab5eac80e4e56fb1bcd924a9e7babacf64a237d82a22b97dbcdf3cf17597d0e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06933",
    "kind": "arxiv",
    "version": 1
  }
}