Pith Number

pith:5RR5ILDR

pith:2012:5RR5ILDRIFZ4JEABNRS5BETVZQ

not attested not anchored not stored refs pending

Introduction to twisted commutative algebras

Andrew Snowden, Steven V Sam

arxiv:1209.5122 v1 · 2012-09-23 · math.AC · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5RR5ILDRIFZ4JEABNRS5BETVZQ}

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.

Cited by

2 papers in Pith

A note on projective dimension over twisted commutative algebras

On the cohomology of tautological bundles over Quot schemes of curves

Receipt and verification

First computed	2026-05-18T03:44:59.160879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec63d42c714173c490016c65d09275cc030c36d9ebd239f8a72fc80033e608b0

Aliases

arxiv: 1209.5122 · arxiv_version: 1209.5122v1 · doi: 10.48550/arxiv.1209.5122 · pith_short_12: 5RR5ILDRIFZ4 · pith_short_16: 5RR5ILDRIFZ4JEAB · pith_short_8: 5RR5ILDR

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/5RR5ILDRIFZ4JEABNRS5BETVZQ \
  | 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: ec63d42c714173c490016c65d09275cc030c36d9ebd239f8a72fc80033e608b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "172eabc431c907a04300ea25c0b6466c80152bcd14030c999a6ed1b71473773f",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-09-23T22:45:41Z",
    "title_canon_sha256": "8156e81d672d07a025bbaa42d00ea91f5082057e1e02582d4e56401d570e5d89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5122",
    "kind": "arxiv",
    "version": 1
  }
}