Pith Number

pith:A7S655RI

pith:2013:A7S655RISS4TN2R2QVFMLJ745M

not attested not anchored not stored refs pending

Detecting and realising characteristic classes of manifold bundles

Oscar Randal-Williams, Soren Galatius

arxiv:1304.5571 v1 · 2013-04-20 · 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{A7S655RISS4TN2R2QVFMLJ745M}

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	2026-05-18T03:27:31.618060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07e5eef62894b936ea3a854ac5a7fceb0d73e584b3d1ed512d85396844dc8d14

Aliases

arxiv: 1304.5571 · arxiv_version: 1304.5571v1 · doi: 10.48550/arxiv.1304.5571 · pith_short_12: A7S655RISS4T · pith_short_16: A7S655RISS4TN2R2 · pith_short_8: A7S655RI

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/A7S655RISS4TN2R2QVFMLJ745M \
  | 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: 07e5eef62894b936ea3a854ac5a7fceb0d73e584b3d1ed512d85396844dc8d14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e65b06b84a931f2de1b22245b94e1a4d44d00ce94d43f0a364d1d1039f112e71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-04-20T00:35:11Z",
    "title_canon_sha256": "a3b9e73bc62c1ee33e8e0d13d88819b3b2360a1cdd4cb1a604217be9d53fbaad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5571",
    "kind": "arxiv",
    "version": 1
  }
}