Pith Number

pith:7LX6MH5Y

pith:2011:7LX6MH5YGVUBFGFVFR2XNKKPDF

not attested not anchored not stored refs pending

Productive elements in group cohomology

Ergun Yalcin

arxiv:1101.3834 v2 · 2011-01-20 · 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{7LX6MH5YGVUBFGFVFR2XNKKPDF}

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	2026-05-18T03:56:58.234256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faefe61fb835681298b52c7576a94f197bd38d057b611e0cb5d315de4542eccc

Aliases

arxiv: 1101.3834 · arxiv_version: 1101.3834v2 · doi: 10.48550/arxiv.1101.3834 · pith_short_12: 7LX6MH5YGVUB · pith_short_16: 7LX6MH5YGVUBFGFV · pith_short_8: 7LX6MH5Y

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/7LX6MH5YGVUBFGFVFR2XNKKPDF \
  | 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: faefe61fb835681298b52c7576a94f197bd38d057b611e0cb5d315de4542eccc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f509e3d8e00e85b643a000bc4bfdbd131fe9ea4a78981c7363aeae1f43bdcc51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-01-20T07:54:20Z",
    "title_canon_sha256": "59ec75cbdf38c9733ac4ecb1964bf0017ece44f88dcafc88a551310d24c9b2ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3834",
    "kind": "arxiv",
    "version": 2
  }
}