Pith Number

pith:NIMHVLWP

pith:2012:NIMHVLWPPZPEV6IPWPRUAIP2DO

not attested not anchored not stored refs pending

Coincidence invariants and higher Reidemeister traces

Kate Ponto

arxiv:1209.3710 v4 · 2012-09-17 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NIMHVLWPPZPEV6IPWPRUAIP2DO}

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	2026-05-18T02:18:01.810471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a187aaecf7e5e4af90fb3e34021fa1b897bfd8a9bf359560cc0cec8c07b8014

Aliases

arxiv: 1209.3710 · arxiv_version: 1209.3710v4 · doi: 10.48550/arxiv.1209.3710 · pith_short_12: NIMHVLWPPZPE · pith_short_16: NIMHVLWPPZPEV6IP · pith_short_8: NIMHVLWP

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/NIMHVLWPPZPEV6IPWPRUAIP2DO \
  | 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: 6a187aaecf7e5e4af90fb3e34021fa1b897bfd8a9bf359560cc0cec8c07b8014

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c96827f038ceb47de3c2b90075351112623529aa253d3e351418400d46e66cdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-09-17T16:19:16Z",
    "title_canon_sha256": "c7bd715bcf5b631e6269c36efcf4b04fb068ff1440a32962850c2386e4905eaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3710",
    "kind": "arxiv",
    "version": 4
  }
}