Pith Number

pith:NEIEDQDC

pith:2004:NEIEDQDCETZYZOG4AIKCVAK43S

not attested not anchored not stored refs pending

Poincare submersions

John R. Klein

arxiv:math/0411351 v5 · 2004-11-16 · math.AT · 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{NEIEDQDCETZYZOG4AIKCVAK43S}

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	2026-05-18T02:41:32.200344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

691041c06224f38cb8dc02142a815cdcbaed77366ac76c60c39d959588a01414

Aliases

arxiv: math/0411351 · arxiv_version: math/0411351v5 · doi: 10.48550/arxiv.math/0411351 · pith_short_12: NEIEDQDCETZY · pith_short_16: NEIEDQDCETZYZOG4 · pith_short_8: NEIEDQDC

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/NEIEDQDCETZYZOG4AIKCVAK43S \
  | 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: 691041c06224f38cb8dc02142a815cdcbaed77366ac76c60c39d959588a01414

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32f741a040db78c083fd2698d893357ee3a8fb8a948a0d54eb064d3ecf9ca71d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2004-11-16T01:02:10Z",
    "title_canon_sha256": "8d56860a2f9a9d2a3800cc659fc95e17f3b8cdcbb33f9fc4181db09ce570cb54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411351",
    "kind": "arxiv",
    "version": 5
  }
}