Pith Number

pith:QAIQ2YIK

pith:2011:QAIQ2YIK53ZZEZ67JEO7UTF7N2

not attested not anchored not stored refs pending

Finite u Invariant and Bounds on Cohomology Symbol Lengths

David J Saltman

arxiv:1111.6548 v1 · 2011-11-28 · math.AG · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QAIQ2YIK53ZZEZ67JEO7UTF7N2}

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	2026-05-18T04:07:29.671975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80110d610aeef39267df491dfa4cbf6eb0cd17b3490aebeae4babe2b2c0cfdc9

Aliases

arxiv: 1111.6548 · arxiv_version: 1111.6548v1 · doi: 10.48550/arxiv.1111.6548 · pith_short_12: QAIQ2YIK53ZZ · pith_short_16: QAIQ2YIK53ZZEZ67 · pith_short_8: QAIQ2YIK

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/QAIQ2YIK53ZZEZ67JEO7UTF7N2 \
  | 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: 80110d610aeef39267df491dfa4cbf6eb0cd17b3490aebeae4babe2b2c0cfdc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77f2e9a7b8d99129841b6c8ff8c94f0734fca4ffdde00ad86341e6dc11eb6b9f",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-28T18:54:03Z",
    "title_canon_sha256": "f92f6a62fbd76f3720516422770e414696f59b03ee8f08887141c724d9e82bff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6548",
    "kind": "arxiv",
    "version": 1
  }
}