Pith Number

pith:22F6UG4I

pith:2015:22F6UG4IK5RIXLH54MWIIK6LXT

not attested not anchored not stored refs pending

Conservative and Dissipative Polymatrix Replicators

Hassan Najafi Alishah, Pedro Duarte, Telmo Peixe

arxiv:1507.07823 v1 · 2015-07-28 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22F6UG4IK5RIXLH54MWIIK6LXT}

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	2026-05-18T01:15:23.419601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d68bea1b8857628bacfde32c842bcbbcdcc15fb6e6f4a6e72f44ea826922a86e

Aliases

arxiv: 1507.07823 · arxiv_version: 1507.07823v1 · doi: 10.48550/arxiv.1507.07823 · pith_short_12: 22F6UG4IK5RI · pith_short_16: 22F6UG4IK5RIXLH5 · pith_short_8: 22F6UG4I

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/22F6UG4IK5RIXLH54MWIIK6LXT \
  | 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: d68bea1b8857628bacfde32c842bcbbcdcc15fb6e6f4a6e72f44ea826922a86e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdad2935ca2a3d84f6a56dda10325b58d3aecbf469657cad22813ef18478db90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-07-28T15:50:59Z",
    "title_canon_sha256": "04d26b12e1a18d870b4f85b0ef4678829f02adc3b1ce4dd8a0f0db6d0245cc80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07823",
    "kind": "arxiv",
    "version": 1
  }
}