Pith Number

pith:GERPXDXG

pith:2013:GERPXDXGRBZ33INATVUWAHNDNA

not attested not anchored not stored refs pending

Purity of critical cohomology and Kac's conjecture

Ben Davison

arxiv:1311.6989 v7 · 2013-11-27 · math.RT · 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{GERPXDXGRBZ33INATVUWAHNDNA}

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	2026-05-18T00:48:55.364607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3122fb8ee68873bda1a09d69601da36830e167014d2f897d6a90ed07cc4c6673

Aliases

arxiv: 1311.6989 · arxiv_version: 1311.6989v7 · doi: 10.48550/arxiv.1311.6989 · pith_short_12: GERPXDXGRBZ3 · pith_short_16: GERPXDXGRBZ33INA · pith_short_8: GERPXDXG

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/GERPXDXGRBZ33INATVUWAHNDNA \
  | 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: 3122fb8ee68873bda1a09d69601da36830e167014d2f897d6a90ed07cc4c6673

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60fa84a47ef6c9be32ceda5cdb2475fd293883a476f9122f5ee6bbc6153b5486",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-11-27T14:54:34Z",
    "title_canon_sha256": "ec357f48d55acbcd23657471e1b8d1d718643d5f10ac57e031690840c8d5648c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6989",
    "kind": "arxiv",
    "version": 7
  }
}