Pith Number

pith:S25W3TF5

pith:2016:S25W3TF52CT7S577OY4JZCOMUT

not attested not anchored not stored refs pending

Group 1-cohomology is complemented

Piotr W. Nowak

arxiv:1610.09188 v1 · 2016-10-28 · math.GR · math.AT · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S25W3TF52CT7S577OY4JZCOMUT}

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	2026-05-18T00:28:47.048842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96bb6dccbdd0a7f977ff76389c89cca4e6373c00c027355ec0029e798f459512

Aliases

arxiv: 1610.09188 · arxiv_version: 1610.09188v1 · doi: 10.48550/arxiv.1610.09188 · pith_short_12: S25W3TF52CT7 · pith_short_16: S25W3TF52CT7S577 · pith_short_8: S25W3TF5

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/S25W3TF52CT7S577OY4JZCOMUT \
  | 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: 96bb6dccbdd0a7f977ff76389c89cca4e6373c00c027355ec0029e798f459512

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c587434b39e42642934428463e4b6fae8dbacd6417f1e64312678666736c549",
    "cross_cats_sorted": [
      "math.AT",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-10-28T12:45:16Z",
    "title_canon_sha256": "89e148e5e5250263355d169a57d0c8f5b39d7d9132b544e1ad23cc36ca60e78d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09188",
    "kind": "arxiv",
    "version": 1
  }
}