Pith Number

pith:HX3PWP42

pith:2016:HX3PWP42ZQE7NLAZZRFM2TGR4E

not attested not anchored not stored refs pending

An Introduction to Geometric Topology

Bruno Martelli

arxiv:1610.02592 v3 · 2016-10-08 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HX3PWP42ZQE7NLAZZRFM2TGR4E}

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.

Cited by

1 paper in Pith

Topological Field Theories and the Algebraic Structures of the Two-Sphere

Receipt and verification

First computed	2026-07-05T04:11:21.824721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3df6fb3f9acc09f6ac19cc4acd4cd1e134d48994a89df73618d87f87a52cccc2

Aliases

arxiv: 1610.02592 · arxiv_version: 1610.02592v3 · doi: 10.48550/arxiv.1610.02592 · pith_short_12: HX3PWP42ZQE7 · pith_short_16: HX3PWP42ZQE7NLAZ · pith_short_8: HX3PWP42

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/HX3PWP42ZQE7NLAZZRFM2TGR4E \
  | 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: 3df6fb3f9acc09f6ac19cc4acd4cd1e134d48994a89df73618d87f87a52cccc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78416f287a3884b443384945192c9ae415badc4e18b609785d3002d9cfe4b7cb",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-10-08T22:32:56Z",
    "title_canon_sha256": "9ecbbad9172641e7c829cbacf71bcb0cb0399960f28dafac1e27ca8955a13989"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02592",
    "kind": "arxiv",
    "version": 3
  }
}