Pith Number

pith:NRYN7FME

pith:2012:NRYN7FMEH3GZCE3IOWIGMYPJOJ

not attested not anchored not stored refs pending

Discrete homotopies and the fundamental group

Conrad Plaut, Jay Wilkins

arxiv:1205.1137 v1 · 2012-05-05 · 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{NRYN7FMEH3GZCE3IOWIGMYPJOJ}

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	2026-05-18T03:13:23.723731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c70df95843ecd91136875906661e97253074a5117f2458ef905ca551c38e9be

Aliases

arxiv: 1205.1137 · arxiv_version: 1205.1137v1 · doi: 10.48550/arxiv.1205.1137 · pith_short_12: NRYN7FMEH3GZ · pith_short_16: NRYN7FMEH3GZCE3I · pith_short_8: NRYN7FME

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/NRYN7FMEH3GZCE3IOWIGMYPJOJ \
  | 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: 6c70df95843ecd91136875906661e97253074a5117f2458ef905ca551c38e9be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81c7ed0cd9f388954e8188aca938590b9a30882867ae43dcb5c0e1f5632cf6da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-05T13:52:19Z",
    "title_canon_sha256": "80262fd5f3e3c5da5a7f9b95aff0214b18b3079c190367b3c5d75efc7043993e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1137",
    "kind": "arxiv",
    "version": 1
  }
}