Pith Number

pith:7YII45RA

pith:2010:7YII45RAQ7NITOT7QVOBEHEHHB

not attested not anchored not stored refs pending

Time consistent portfolio management

Ivar Ekeland, Oumar Mbodji, Traian A. Pirvu

arxiv:1008.3407 v2 · 2010-08-19 · 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{7YII45RAQ7NITOT7QVOBEHEHHB}

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	2026-05-18T04:17:04.521501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe108e762087da89ba7f855c121c8738688a68d2dc9c72a662230e34dbd763bc

Aliases

arxiv: 1008.3407 · arxiv_version: 1008.3407v2 · doi: 10.48550/arxiv.1008.3407 · pith_short_12: 7YII45RAQ7NI · pith_short_16: 7YII45RAQ7NITOT7 · pith_short_8: 7YII45RA

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/7YII45RAQ7NITOT7QVOBEHEHHB \
  | 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: fe108e762087da89ba7f855c121c8738688a68d2dc9c72a662230e34dbd763bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a14be8b83203099ff88c29eaee6b2424aa62bee17f9a4a18042bebcb5c2ecbd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-08-19T22:54:07Z",
    "title_canon_sha256": "27fc41973d08f674ce60a2e599e9be6d524129639495ed016d7778206f894a4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3407",
    "kind": "arxiv",
    "version": 2
  }
}