Pith Number

pith:2ITIPPVF

pith:2011:2ITIPPVFWULYK23H7JKWEOP4ZK

not attested not anchored not stored refs pending

Stable cohomology of alternating groups

Christian B\"ohning, Fedor Bogomolov

arxiv:1108.2814 v3 · 2011-08-13 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ITIPPVFWULYK23H7JKWEOP4ZK}

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	2026-05-18T03:57:24.989100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d22687bea5b517856b67fa556239fcca8c2c291dbb31e182caea8c717c3915b7

Aliases

arxiv: 1108.2814 · arxiv_version: 1108.2814v3 · doi: 10.48550/arxiv.1108.2814 · pith_short_12: 2ITIPPVFWULY · pith_short_16: 2ITIPPVFWULYK23H · pith_short_8: 2ITIPPVF

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/2ITIPPVFWULYK23H7JKWEOP4ZK \
  | 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: d22687bea5b517856b67fa556239fcca8c2c291dbb31e182caea8c717c3915b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c1fc818a4d24f646ba4712d77757feaed2353c1ec7b4476a4c33ea65ae89b1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-13T19:02:16Z",
    "title_canon_sha256": "c9ed740cca7e2a252525665cb91dc4ef74efb0f3353f8606ae1eed3e8741ca2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2814",
    "kind": "arxiv",
    "version": 3
  }
}