Pith Number

pith:CJXUKNSM

pith:2004:CJXUKNSMFAILTKRRW7K4JLTLF5

not attested not anchored not stored refs pending

Cut-and-Paste on Foliated Bundles

Eric Leichtnam, Paolo Piazza

arxiv:math/0407401 v1 · 2004-07-23 · math.DG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJXUKNSMFAILTKRRW7K4JLTLF5}

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	2026-05-18T01:05:26.166478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

126f45364c2810b9aa31b7d5c4ae6b2f6b2ec508455d336b387cedf12842e73f

Aliases

arxiv: math/0407401 · arxiv_version: math/0407401v1 · doi: 10.48550/arxiv.math/0407401 · pith_short_12: CJXUKNSMFAIL · pith_short_16: CJXUKNSMFAILTKRR · pith_short_8: CJXUKNSM

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/CJXUKNSMFAILTKRRW7K4JLTLF5 \
  | 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: 126f45364c2810b9aa31b7d5c4ae6b2f6b2ec508455d336b387cedf12842e73f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55ac40903682574027106bd653627bb1ae5ce06e00610b38c036db5715e798cf",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2004-07-23T12:50:25Z",
    "title_canon_sha256": "1b76178e4725ad288d53f47c31e1e1ba8f7c3dc0fceea7c8758333a102bc4265"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407401",
    "kind": "arxiv",
    "version": 1
  }
}