Pith Number

pith:RVFHU7BH

pith:1999:RVFHU7BHH255RYYWPF7QHMLNAG

not attested not anchored not stored refs pending

Cohomology of uniformly powerful p-groups

Jonathan Pakianathan, William Browder

arxiv:math/9901144 v1 · 1999-01-21 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RVFHU7BHH255RYYWPF7QHMLNAG}

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	2026-05-18T01:05:33.398774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d4a7a7c273ebbd8e316797f03b16d0193e7a4eb19de8985e01314c934a91e88

Aliases

arxiv: math/9901144 · arxiv_version: math/9901144v1 · doi: 10.48550/arxiv.math/9901144 · pith_short_12: RVFHU7BHH255 · pith_short_16: RVFHU7BHH255RYYW · pith_short_8: RVFHU7BH

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/RVFHU7BHH255RYYWPF7QHMLNAG \
  | 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: 8d4a7a7c273ebbd8e316797f03b16d0193e7a4eb19de8985e01314c934a91e88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2c652f1866f66814dc1f2705f57f0a2768d042fd1e5898833332c90f4a47c34",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "1999-01-21T00:00:00Z",
    "title_canon_sha256": "5987be0eb1fdd556ed56b490565e7e42fe05009fdac1221e6c84b8a5ef99feb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9901144",
    "kind": "arxiv",
    "version": 1
  }
}