Pith Number

pith:AIMXYLTF

pith:2017:AIMXYLTFG3GGO426T5Q63D75FC

not attested not anchored not stored refs pending

Face distributions of embeddings of complete graphs

Timothy Sun

arxiv:1708.02092 v3 · 2017-08-07 · 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{AIMXYLTFG3GGO426T5Q63D75FC}

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	2026-05-18T00:06:51.181142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02197c2e6536cc67735e9f61ed8ffd28bc849d6ff193cb5997a1624ddb4e436a

Aliases

arxiv: 1708.02092 · arxiv_version: 1708.02092v3 · doi: 10.48550/arxiv.1708.02092 · pith_short_12: AIMXYLTFG3GG · pith_short_16: AIMXYLTFG3GGO426 · pith_short_8: AIMXYLTF

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/AIMXYLTFG3GGO426T5Q63D75FC \
  | 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: 02197c2e6536cc67735e9f61ed8ffd28bc849d6ff193cb5997a1624ddb4e436a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f11d40c28f9f939748d7d04b9b8b925bdce1b3895f6c12149de891f74cff4398",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-07T12:34:51Z",
    "title_canon_sha256": "f28ad62bcf3e7eb4c1b6b2778f93135c8a415b14362cbbc3bf7166d1c536234c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02092",
    "kind": "arxiv",
    "version": 3
  }
}