Pith Number

pith:JR4VOYAT

pith:2008:JR4VOYATA6HNGKRUW62JKHBVZV

not attested not anchored not stored refs pending

Equivariant Primary Decomposition and Toric Sheaves

Guenther Trautmann, Markus Perling

arxiv:0802.0257 v2 · 2008-02-02 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JR4VOYATA6HNGKRUW62JKHBVZV}

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	2026-05-18T04:03:45.629954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c79576013078ed32a34b7b4951c35cd6158b024fae46e3e5192a44acd3f1cc3

Aliases

arxiv: 0802.0257 · arxiv_version: 0802.0257v2 · doi: 10.48550/arxiv.0802.0257 · pith_short_12: JR4VOYATA6HN · pith_short_16: JR4VOYATA6HNGKRU · pith_short_8: JR4VOYAT

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/JR4VOYATA6HNGKRUW62JKHBVZV \
  | 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: 4c79576013078ed32a34b7b4951c35cd6158b024fae46e3e5192a44acd3f1cc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d88b9716791d7eab5c58a64e388023c11bb37ceae73fbe31b4e5e615310ef611",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-02-02T16:19:28Z",
    "title_canon_sha256": "8848e71be952710667cbe45343ffe86673b21ea7d6911eb103ee85b046ca9aa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.0257",
    "kind": "arxiv",
    "version": 2
  }
}