Pith Number

pith:RAHMUITU

pith:2011:RAHMUITUEBU2FBGP6P6GFFLTXA

not attested not anchored not stored refs pending

Exponents of Zero divisors in the Cohomology ring of a finite group

Jonathan Pakianathan

arxiv:1112.1671 v2 · 2011-12-07 · math.KT · math.AT · 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{RAHMUITUEBU2FBGP6P6GFFLTXA}

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	2026-05-18T04:06:45.840735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

880eca22742069a284cff3fc629573b81a0e33014a511af44d328b57d2e405a9

Aliases

arxiv: 1112.1671 · arxiv_version: 1112.1671v2 · doi: 10.48550/arxiv.1112.1671 · pith_short_12: RAHMUITUEBU2 · pith_short_16: RAHMUITUEBU2FBGP · pith_short_8: RAHMUITU

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/RAHMUITUEBU2FBGP6P6GFFLTXA \
  | 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: 880eca22742069a284cff3fc629573b81a0e33014a511af44d328b57d2e405a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ecefc2e64a4abe72b0976e88ab46e8cda480af3889acc25a5efd9c456789c6e",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-12-07T19:45:11Z",
    "title_canon_sha256": "854dc7770f55691624a1f04c5ac048d78c01fb1a11ecb603086a915a91f0dc47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1671",
    "kind": "arxiv",
    "version": 2
  }
}