Pith Number

pith:PJ63V5ZH

pith:2020:PJ63V5ZHZJ4SEVG5RTCSYLLGLG

not attested not anchored not stored refs pending

Maximum principles for stochastic time-changed Volterra games

Giulia Di Nunno, Michele Giordano

arxiv:2012.06449 v2 · 2020-12-11 · math.PR · 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{PJ63V5ZHZJ4SEVG5RTCSYLLGLG}

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	2026-07-05T05:48:24.457694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a7dbaf727ca792254dd8cc52c2d6659b377db9106598f16819332b2880e2334

Aliases

arxiv: 2012.06449 · arxiv_version: 2012.06449v2 · doi: 10.48550/arxiv.2012.06449 · pith_short_12: PJ63V5ZHZJ4S · pith_short_16: PJ63V5ZHZJ4SEVG5 · pith_short_8: PJ63V5ZH

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/PJ63V5ZHZJ4SEVG5RTCSYLLGLG \
  | 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: 7a7dbaf727ca792254dd8cc52c2d6659b377db9106598f16819332b2880e2334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88651134f2d1d434b4bd02f418322ac99b97b25ea65cc0bfede2795e3339fe21",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-12-11T16:16:44Z",
    "title_canon_sha256": "6bae4f70e1c10da83bcd72151a022fe1dbe141694e8743b04deab4e2404f7754"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.06449",
    "kind": "arxiv",
    "version": 2
  }
}