Pith Number

pith:P5DT2CPX

pith:2012:P5DT2CPXGQV3F5BXCHREHURBDQ

not attested not anchored not stored refs pending

Non-commutative resolutions and Grothendieck groups

Charles Vial, Hailong Dao, Osamu Iyama, Ryo Takahashi

arxiv:1205.4486 v2 · 2012-05-21 · math.AC · math.AG · 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{P5DT2CPXGQV3F5BXCHREHURBDQ}

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	2026-05-18T03:12:35.186477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f473d09f7342bb2f43711e243d2211c0713b936dd590c02355762a83d87cd2d

Aliases

arxiv: 1205.4486 · arxiv_version: 1205.4486v2 · doi: 10.48550/arxiv.1205.4486 · pith_short_12: P5DT2CPXGQV3 · pith_short_16: P5DT2CPXGQV3F5BX · pith_short_8: P5DT2CPX

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/P5DT2CPXGQV3F5BXCHREHURBDQ \
  | 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: 7f473d09f7342bb2f43711e243d2211c0713b936dd590c02355762a83d87cd2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3760a64c33740afd787522c4c60ebb4ee94efa3e2c85983b1ffa8b9cbe86a877",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-05-21T04:57:59Z",
    "title_canon_sha256": "ed20f598cd64fb6d304d5365de7a2ca40c7902dddf5f78f4c590ea43414e11b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4486",
    "kind": "arxiv",
    "version": 2
  }
}