Pith Number

pith:DJTZX7HD

pith:2005:DJTZX7HDUT372P5O3Q5OXISOMX

not attested not anchored not stored refs pending

Circle bundles over 4-manifolds

Chao Liang, Haibao Duan

arxiv:math/0502469 v1 · 2005-02-23 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJTZX7HDUT372P5O3Q5OXISOMX}

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	2026-05-18T02:55:04.487933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a679bfce3a4f7fd3faedc3aeba24e65f8cc9c80f35d3bdfa94b0d42e128077b

Aliases

arxiv: math/0502469 · arxiv_version: math/0502469v1 · doi: 10.48550/arxiv.math/0502469 · pith_short_12: DJTZX7HDUT37 · pith_short_16: DJTZX7HDUT372P5O · pith_short_8: DJTZX7HD

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/DJTZX7HDUT372P5O3Q5OXISOMX \
  | 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: 1a679bfce3a4f7fd3faedc3aeba24e65f8cc9c80f35d3bdfa94b0d42e128077b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c19297f7616ebd78656f0d2d8ba56e7bd06deb71ea8649a141e5899f599f224",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-02-23T02:27:43Z",
    "title_canon_sha256": "15b5d5214571077e7f0deee4ad26dfd0b876a559757b826d55c8f66fd1e3c0ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502469",
    "kind": "arxiv",
    "version": 1
  }
}