Pith Number

pith:KDC5CQLP

pith:2005:KDC5CQLPI7D5DG4WJPJUUGUGGQ

not attested not anchored not stored refs pending

Link groups of 4-manifolds

Vyacheslav Krushkal

arxiv:math/0510507 v3 · 2005-10-24 · 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{KDC5CQLPI7D5DG4WJPJUUGUGGQ}

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	2026-05-18T02:41:31.977381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50c5d1416f47c7d19b964bd34a1a86340ca452fda3278e163e9dd8c609657f63

Aliases

arxiv: math/0510507 · arxiv_version: math/0510507v3 · doi: 10.48550/arxiv.math/0510507 · pith_short_12: KDC5CQLPI7D5 · pith_short_16: KDC5CQLPI7D5DG4W · pith_short_8: KDC5CQLP

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/KDC5CQLPI7D5DG4WJPJUUGUGGQ \
  | 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: 50c5d1416f47c7d19b964bd34a1a86340ca452fda3278e163e9dd8c609657f63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e120593401cd162e207583f617f41a6f8b86cab1f639b1bbc932a85dd5a7697b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2005-10-24T17:33:01Z",
    "title_canon_sha256": "c485e202344550cf6fd86c4814719cf22f8150e359153d5a88f921eff67b8c3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510507",
    "kind": "arxiv",
    "version": 3
  }
}