Pith Number

pith:UTWMRNFE

pith:2014:UTWMRNFEGY5EVOQNLM72PTWD7G

not attested not anchored not stored refs pending

Essential dimension, stable cohomological dimension, and stable cohomology of finite Heisenberg groups

Christian B\"ohning, Fedor Bogomolov

arxiv:1405.1394 v1 · 2014-05-06 · 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{UTWMRNFEGY5EVOQNLM72PTWD7G}

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	2026-05-18T02:52:32.885845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4ecc8b4a4363a4aba0d5b3fa7cec3f9912a0bde91230e55ba5d13ac62075c36

Aliases

arxiv: 1405.1394 · arxiv_version: 1405.1394v1 · doi: 10.48550/arxiv.1405.1394 · pith_short_12: UTWMRNFEGY5E · pith_short_16: UTWMRNFEGY5EVOQN · pith_short_8: UTWMRNFE

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/UTWMRNFEGY5EVOQNLM72PTWD7G \
  | 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: a4ecc8b4a4363a4aba0d5b3fa7cec3f9912a0bde91230e55ba5d13ac62075c36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d7a3aca288601ab8ee7f73815249d1bd42cc0d52ff5fd746e50ebb3de5f6273",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-05-06T18:43:19Z",
    "title_canon_sha256": "8ce4acb9d7525cb58a46fb637e24e402b1e5a0136595059385d387cad15cf7cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1394",
    "kind": "arxiv",
    "version": 1
  }
}