Pith Number

pith:64CA3TDF

pith:2013:64CA3TDFQ2MRTM5CILYDZD3RNK

not attested not anchored not stored refs pending

Generalised Miller-Morita-Mumford classes for block bundles and topological bundles

Johannes Ebert, Oscar Randal-Williams

arxiv:1306.3332 v2 · 2013-06-14 · 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{64CA3TDFQ2MRTM5CILYDZD3RNK}

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	2026-05-18T02:28:29.433028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7040dcc65869919b3a242f03c8f716aab36f9598b102bdecf2b63456408b02a

Aliases

arxiv: 1306.3332 · arxiv_version: 1306.3332v2 · doi: 10.48550/arxiv.1306.3332 · pith_short_12: 64CA3TDFQ2MR · pith_short_16: 64CA3TDFQ2MRTM5C · pith_short_8: 64CA3TDF

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/64CA3TDFQ2MRTM5CILYDZD3RNK \
  | 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: f7040dcc65869919b3a242f03c8f716aab36f9598b102bdecf2b63456408b02a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68dc4b5b128c3d3af6dd243f6e2835d690e4f8cf750a382aebf45880e6b9006a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-06-14T08:37:25Z",
    "title_canon_sha256": "64046c56de7d06a456b498ef2c769e407feacbab46809f496c76d4704e6b97e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3332",
    "kind": "arxiv",
    "version": 2
  }
}