Pith Number

pith:533MWFPH

pith:2017:533MWFPHQEQFIUBWOW5JY4KC5M

not attested not anchored not stored refs pending

Random group cobordisms of rank 7/4

Mikael Pichot, Sylvain Barre

arxiv:1708.00914 v1 · 2017-08-02 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{533MWFPHQEQFIUBWOW5JY4KC5M}

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	2026-05-18T00:38:41.168644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eef6cb15e7812054503675ba9c7142eb3e8aa104301f4a3520f74c83fc8bb901

Aliases

arxiv: 1708.00914 · arxiv_version: 1708.00914v1 · doi: 10.48550/arxiv.1708.00914 · pith_short_12: 533MWFPHQEQF · pith_short_16: 533MWFPHQEQFIUBW · pith_short_8: 533MWFPH

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/533MWFPHQEQFIUBWOW5JY4KC5M \
  | 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: eef6cb15e7812054503675ba9c7142eb3e8aa104301f4a3520f74c83fc8bb901

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb77835c9b0a2d995ea146966b3b65ac99b25634d1d4a8190708b56245fb32cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-08-02T20:10:24Z",
    "title_canon_sha256": "110fcea099b2e6547b7fd396b1729fa266da7761fa15a98c877b31b7aac8d5d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00914",
    "kind": "arxiv",
    "version": 1
  }
}