Pith Number

pith:OKMGEXN7

pith:2014:OKMGEXN723EP43F4OZPHNAJOKE

not attested not anchored not stored refs pending

Tame filling invariants for groups

Mark Brittenham, Susan Hermiller

arxiv:1410.2669 v1 · 2014-10-10 · 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{OKMGEXN723EP43F4OZPHNAJOKE}

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	2026-05-18T02:40:37.569523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7298625dbfd6c8fe6cbc765e76812e5129b41b2eb41bde0afbcac7012997eeae

Aliases

arxiv: 1410.2669 · arxiv_version: 1410.2669v1 · doi: 10.48550/arxiv.1410.2669 · pith_short_12: OKMGEXN723EP · pith_short_16: OKMGEXN723EP43F4 · pith_short_8: OKMGEXN7

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/OKMGEXN723EP43F4OZPHNAJOKE \
  | 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: 7298625dbfd6c8fe6cbc765e76812e5129b41b2eb41bde0afbcac7012997eeae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6607a36bd3757fd790da1f4b6321a765d1cecf07d2eeff995a7f6dee6818b56e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-10-10T03:58:41Z",
    "title_canon_sha256": "ae880a7161a3c2bd0f40578e588cc7535e07ae716cca7cb4fb58582d024034c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2669",
    "kind": "arxiv",
    "version": 1
  }
}