Pith Number

pith:6AISCAIG

pith:2018:6AISCAIG3Y6RVEN47ELVPJOBNY

not attested not anchored not stored refs pending

ON $(\triangle, 1)$-GRAPHS

Alexander Kelmans, Rafael Aparicio

arxiv:1806.06315 v5 · 2018-06-16 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6AISCAIG3Y6RVEN47ELVPJOBNY}

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	2026-05-18T00:03:31.854448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f011210106de3d1a91bcf91757a5c16e096c3a9a377f1e777e968a6cfd0d43c6

Aliases

arxiv: 1806.06315 · arxiv_version: 1806.06315v5 · doi: 10.48550/arxiv.1806.06315 · pith_short_12: 6AISCAIG3Y6R · pith_short_16: 6AISCAIG3Y6RVEN4 · pith_short_8: 6AISCAIG

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/6AISCAIG3Y6RVEN47ELVPJOBNY \
  | 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: f011210106de3d1a91bcf91757a5c16e096c3a9a377f1e777e968a6cfd0d43c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c61054293b261ee433dd3345f6aa8d80e5ddebfdac8f9a855e20e505297eb3cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-16T23:58:47Z",
    "title_canon_sha256": "9055a992ee103271d2c7d41ff2294827d043f6d1af45acec1c78014cdebec7de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06315",
    "kind": "arxiv",
    "version": 5
  }
}