Pith Number

pith:5HM3ZAHJ

pith:2012:5HM3ZAHJILKQDJ2UDDK6SGBNBV

not attested not anchored not stored refs pending

Simplicial principal bundles in parametrized spaces

Danny Stevenson, David Michael Roberts

arxiv:1203.2460 v4 · 2012-03-12 · 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{5HM3ZAHJILKQDJ2UDDK6SGBNBV}

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	2026-05-18T01:16:30.075192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9d9bc80e942d501a75418d5e9182d0d4c13eac602dc12d1e589991f86ac71b0

Aliases

arxiv: 1203.2460 · arxiv_version: 1203.2460v4 · doi: 10.48550/arxiv.1203.2460 · pith_short_12: 5HM3ZAHJILKQ · pith_short_16: 5HM3ZAHJILKQDJ2U · pith_short_8: 5HM3ZAHJ

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/5HM3ZAHJILKQDJ2UDDK6SGBNBV \
  | 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: e9d9bc80e942d501a75418d5e9182d0d4c13eac602dc12d1e589991f86ac71b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3990a59020d4ab6a43565ec88fd82375adb42c912e858391541161bd541e374b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-03-12T11:52:40Z",
    "title_canon_sha256": "30ba6bab25e551a73ff07a0edd7b7f77bb7cac4fcb0db1390df70e622181324b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2460",
    "kind": "arxiv",
    "version": 4
  }
}