Pith Number

pith:S4FAKUIT

pith:2007:S4FAKUITYMJEFW7MTZIUFSC2VI

not attested not anchored not stored refs pending

Maps to the projective plane

Jerzy Dydak, Michael Levin

arxiv:math/0701127 v1 · 2007-01-04 · math.GT · math.AT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4FAKUITYMJEFW7MTZIUFSC2VI}

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	2026-05-18T02:41:26.638832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

970a055113c31242dbec9e5142c85aaa2a0858c33541981003409c75cadf57c1

Aliases

arxiv: math/0701127 · arxiv_version: math/0701127v1 · doi: 10.48550/arxiv.math/0701127 · pith_short_12: S4FAKUITYMJE · pith_short_16: S4FAKUITYMJEFW7M · pith_short_8: S4FAKUIT

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/S4FAKUITYMJEFW7MTZIUFSC2VI \
  | 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: 970a055113c31242dbec9e5142c85aaa2a0858c33541981003409c75cadf57c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d57b0e75531e36a8c454aea22e3b69343ec237fe62a4c8fb5b771c73da78a15",
    "cross_cats_sorted": [
      "math.AT",
      "math.GN"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2007-01-04T08:15:48Z",
    "title_canon_sha256": "9c1c6ea9723d78db03c751ad568169edf3d668302b6bd842e0a5f55322285c99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701127",
    "kind": "arxiv",
    "version": 1
  }
}