Pith Number

pith:2ZLDRGL7

pith:2009:2ZLDRGL7P6D7F5DNVVWMGOKBLQ

not attested not anchored not stored refs pending

On the Product in Negative Tate Cohomology for Finite Groups

Haggai Tene

arxiv:0911.3014 v2 · 2009-11-16 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZLDRGL7P6D7F5DNVVWMGOKBLQ}

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	2026-05-18T03:58:25.073863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d65638997f7f87f2f46dad6cc339415c240e02415f4913f6519520594ff26bf8

Aliases

arxiv: 0911.3014 · arxiv_version: 0911.3014v2 · doi: 10.48550/arxiv.0911.3014 · pith_short_12: 2ZLDRGL7P6D7 · pith_short_16: 2ZLDRGL7P6D7F5DN · pith_short_8: 2ZLDRGL7

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/2ZLDRGL7P6D7F5DNVVWMGOKBLQ \
  | 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: d65638997f7f87f2f46dad6cc339415c240e02415f4913f6519520594ff26bf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7faaec354245c4d9a96eca39d3f1f937b0418ba0bbd7933cae420b9f6549a035",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-11-16T11:46:37Z",
    "title_canon_sha256": "65b55ab8f5632a51f1b286c49bbf7c735f6c7ff24091ee3c06f9975b6cef29c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3014",
    "kind": "arxiv",
    "version": 2
  }
}