Pith Number

pith:DF7GRAEU

pith:2012:DF7GRAEUAONHG7H746JFIWTZIX

not attested not anchored not stored refs pending

Dense flag triangulations of 3-manifolds via extremal graph theory

Jan Hladky, Michal Adamaszek

arxiv:1205.4060 v2 · 2012-05-17 · 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{DF7GRAEUAONHG7H746JFIWTZIX}

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	2026-05-18T00:39:18.775679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

197e688094039a737cffe792545a7945e8bff3f34b1d197695bf16ede9adc7f6

Aliases

arxiv: 1205.4060 · arxiv_version: 1205.4060v2 · doi: 10.48550/arxiv.1205.4060 · pith_short_12: DF7GRAEUAONH · pith_short_16: DF7GRAEUAONHG7H7 · pith_short_8: DF7GRAEU

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/DF7GRAEUAONHG7H746JFIWTZIX \
  | 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: 197e688094039a737cffe792545a7945e8bff3f34b1d197695bf16ede9adc7f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64e9b40db0b7817bdd4e87ae1b010e9816ffff6d5a60bffc1d1085b88b1861cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-17T23:23:14Z",
    "title_canon_sha256": "65f7e7880a118013290e18018c54da30f350e44f804fbfe0e5925634be7dee0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4060",
    "kind": "arxiv",
    "version": 2
  }
}