Pith Number

pith:FETO4SIB

pith:2013:FETO4SIB2K3ZCSE7JBLI4B5XS4

not attested not anchored not stored refs pending

The augmented marking complex of a surface

Matthew Gentry Durham

arxiv:1309.4065 v2 · 2013-09-16 · 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{FETO4SIB2K3ZCSE7JBLI4B5XS4}

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	2026-05-18T00:44:29.512224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2926ee4901d2b791489f48568e07b797238612363d3745a9b3e6099229656937

Aliases

arxiv: 1309.4065 · arxiv_version: 1309.4065v2 · doi: 10.48550/arxiv.1309.4065 · pith_short_12: FETO4SIB2K3Z · pith_short_16: FETO4SIB2K3ZCSE7 · pith_short_8: FETO4SIB

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/FETO4SIB2K3ZCSE7JBLI4B5XS4 \
  | 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: 2926ee4901d2b791489f48568e07b797238612363d3745a9b3e6099229656937

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66f061ac54d2a3f70be765eadd629375f56633bfb5fdbc8036837bb155f2fa39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-09-16T18:47:16Z",
    "title_canon_sha256": "576d56822e6dd91672121212eabb67e10dc3802b3235dac9e0ec5d985c2ff4b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4065",
    "kind": "arxiv",
    "version": 2
  }
}