Pith Number

pith:QTU2LEXI

pith:2015:QTU2LEXIK6HEO2FAZ3RYXE5PNH

not attested not anchored not stored refs pending

A mnemonic for the graded-case Golod-Shafarevich inequality

David Anick, Warren Dicks

arxiv:1508.03231 v2 · 2015-08-13 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QTU2LEXIK6HEO2FAZ3RYXE5PNH}

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	2026-05-18T00:46:16.906153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84e9a592e8578e4768a0cee38b93af69da43ff235d4f6eb349d4bd026a155a8f

Aliases

arxiv: 1508.03231 · arxiv_version: 1508.03231v2 · doi: 10.48550/arxiv.1508.03231 · pith_short_12: QTU2LEXIK6HE · pith_short_16: QTU2LEXIK6HEO2FA · pith_short_8: QTU2LEXI

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/QTU2LEXIK6HEO2FAZ3RYXE5PNH \
  | 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: 84e9a592e8578e4768a0cee38b93af69da43ff235d4f6eb349d4bd026a155a8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae7ecc2413f0c2053a105ffece0fd4e39b433e2419beeb53782e6b147258c6bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-08-13T14:31:46Z",
    "title_canon_sha256": "7802541f27ce0ecaee316bc385c0b7fa85bb2f94c164765c0ba1125b9e839433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03231",
    "kind": "arxiv",
    "version": 2
  }
}