Pith Number

pith:5DCRAMDW

pith:2011:5DCRAMDW47VHASQRSAYVGYT5SW

not attested not anchored not stored refs pending

Stackable groups, tame filling invariants, and algorithmic properties of groups

Mark Brittenham, Susan Hermiller

arxiv:1109.6309 v2 · 2011-09-28 · 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{5DCRAMDW47VHASQRSAYVGYT5SW}

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	2026-05-18T04:05:27.007509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8c5103076e7ea704a11903153627d95bdd3eb0bd1b0ec6a88069d63ceb5e677

Aliases

arxiv: 1109.6309 · arxiv_version: 1109.6309v2 · doi: 10.48550/arxiv.1109.6309 · pith_short_12: 5DCRAMDW47VH · pith_short_16: 5DCRAMDW47VHASQR · pith_short_8: 5DCRAMDW

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/5DCRAMDW47VHASQRSAYVGYT5SW \
  | 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: e8c5103076e7ea704a11903153627d95bdd3eb0bd1b0ec6a88069d63ceb5e677

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e777b8482be115d70ae9cc9b586e0c9d33826319e0ba9151dd7e777a303c8e14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-09-28T19:37:28Z",
    "title_canon_sha256": "a9970074d68bb845fb869f39353d88337d619434bc619f29a4bb94ccd51d3050"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6309",
    "kind": "arxiv",
    "version": 2
  }
}