Pith Number

pith:5GWAVYFT

pith:2015:5GWAVYFTYR45FRMAMOUOGEVOI3

not attested not anchored not stored refs pending

Graph Theory

Petros A. Petrosyan, Rafayel R. Kamalian, Vahan V. Mkrtchyan

arxiv:1510.00945 v1 · 2015-10-04 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GWAVYFTYR45FRMAMOUOGEVOI3}

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	2026-05-18T01:31:05.161872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9ac0ae0b3c479d2c58063a8e312ae46cdf5f00bcc4ca485f3a86dc5fa72b3aa

Aliases

arxiv: 1510.00945 · arxiv_version: 1510.00945v1 · doi: 10.48550/arxiv.1510.00945 · pith_short_12: 5GWAVYFTYR45 · pith_short_16: 5GWAVYFTYR45FRMA · pith_short_8: 5GWAVYFT

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/5GWAVYFTYR45FRMAMOUOGEVOI3 \
  | 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: e9ac0ae0b3c479d2c58063a8e312ae46cdf5f00bcc4ca485f3a86dc5fa72b3aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb160a012951fce624b9792a1e400c9396b436f5dbb63a5a90a4c1c9cbe744a8",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-04T15:51:34Z",
    "title_canon_sha256": "140a5d8353af837aad319d2647147552a201fe46fd4dac6023ebca4fd3e1661b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00945",
    "kind": "arxiv",
    "version": 1
  }
}