Pith Number

pith:HTKXZCXO

pith:2012:HTKXZCXOFGZOTDARRRFR4MTMUL

not attested not anchored not stored refs pending

Embeddings of *-graphs into 2-surfaces

Tyler Friesen, Vassily Manturov

arxiv:1212.5646 v1 · 2012-12-22 · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HTKXZCXOFGZOTDARRRFR4MTMUL}

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	2026-05-18T03:37:51.874957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cd57c8aee29b2e98c118c4b1e326ca2dd224c7ceb98f8d4aa296ba649e107f2

Aliases

arxiv: 1212.5646 · arxiv_version: 1212.5646v1 · doi: 10.48550/arxiv.1212.5646 · pith_short_12: HTKXZCXOFGZO · pith_short_16: HTKXZCXOFGZOTDAR · pith_short_8: HTKXZCXO

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/HTKXZCXOFGZOTDARRRFR4MTMUL \
  | 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: 3cd57c8aee29b2e98c118c4b1e326ca2dd224c7ceb98f8d4aa296ba649e107f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19fa7157658811cd073cd9fb442d8a83f1edef6ceaa2beef2bc2bd84a28383fd",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-22T02:37:12Z",
    "title_canon_sha256": "a30a105edbe1c0355843166275c1063433e43b1bb793757b3689b0b4142e9e4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5646",
    "kind": "arxiv",
    "version": 1
  }
}