Pith Number

pith:GZST4LFV

pith:2010:GZST4LFVAKTEWRHGYY5U6G5I5G

not attested not anchored not stored refs pending

On Cohomology theory for topological groups

Arati S. Khedekar, C.S. Rajan

arxiv:1009.4519 v1 · 2010-09-23 · math.GN · 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{GZST4LFVAKTEWRHGYY5U6G5I5G}

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	2026-05-18T04:40:30.267700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36653e2cb502a64b44e6c63b4f1ba8e984967de4f46a4fd998e60fc80e164db6

Aliases

arxiv: 1009.4519 · arxiv_version: 1009.4519v1 · doi: 10.48550/arxiv.1009.4519 · pith_short_12: GZST4LFVAKTE · pith_short_16: GZST4LFVAKTEWRHG · pith_short_8: GZST4LFV

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/GZST4LFVAKTEWRHGYY5U6G5I5G \
  | 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: 36653e2cb502a64b44e6c63b4f1ba8e984967de4f46a4fd998e60fc80e164db6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "416d3153e9b8621cc130cad9ad64403b00dd39e3b78cd0e5e2ac99a3d3dc1578",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2010-09-23T05:23:11Z",
    "title_canon_sha256": "d8c0e6d6c24912b916cfdef135d51ec1e12692716dce23d3c8c1be3e3d33fa10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4519",
    "kind": "arxiv",
    "version": 1
  }
}