Pith Number

pith:5EFOH2DM

pith:2012:5EFOH2DMNBVLQTRGUD67C5ZE7Q

not attested not anchored not stored refs pending

On the classification of oriented 3-plane bundles over a 6-complex

Benjamin Antieau, Ben Williams

arxiv:1209.2219 v2 · 2012-09-11 · 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{5EFOH2DMNBVLQTRGUD67C5ZE7Q}

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	2026-05-18T03:14:30.464917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e90ae3e86c686ab84e26a0fdf17724fc30c17e4e0aa01b0c10fb8e637e865940

Aliases

arxiv: 1209.2219 · arxiv_version: 1209.2219v2 · doi: 10.48550/arxiv.1209.2219 · pith_short_12: 5EFOH2DMNBVL · pith_short_16: 5EFOH2DMNBVLQTRG · pith_short_8: 5EFOH2DM

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/5EFOH2DMNBVLQTRGUD67C5ZE7Q \
  | 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: e90ae3e86c686ab84e26a0fdf17724fc30c17e4e0aa01b0c10fb8e637e865940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62c7987ab82cc9deb93d971503efe42b063bcbed60c08905ec44e2c981d984e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-09-11T04:30:15Z",
    "title_canon_sha256": "53482b937cd643122c64b29febfd6f469d1f4c60f4ee4997211be0670b55fda0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2219",
    "kind": "arxiv",
    "version": 2
  }
}