Pith Number

pith:ATRFBYM6

pith:2005:ATRFBYM6VVANEUUQJNOO4POFK7

not attested not anchored not stored refs pending

Linear syzygies and birational combinatorics

Aron Simis, Rafael H. Villarreal

arxiv:math/0505159 v2 · 2005-05-09 · math.AC · 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{ATRFBYM6VVANEUUQJNOO4POFK7}

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	2026-05-18T04:25:03.650339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04e250e19ead40d252904b5cee3dc557ecdfdb0df2a78f75148d8eb2adfe0ff5

Aliases

arxiv: math/0505159 · arxiv_version: math/0505159v2 · doi: 10.48550/arxiv.math/0505159 · pith_short_12: ATRFBYM6VVAN · pith_short_16: ATRFBYM6VVANEUUQ · pith_short_8: ATRFBYM6

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/ATRFBYM6VVANEUUQJNOO4POFK7 \
  | 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: 04e250e19ead40d252904b5cee3dc557ecdfdb0df2a78f75148d8eb2adfe0ff5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "695a2cf16ab1be4df80a034ec02484494621c057897c7da6c481f7070852920a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2005-05-09T22:15:12Z",
    "title_canon_sha256": "d2cfad0e628e2ae009440d55b0728184dcfd7efa8f8ed839f2957eb08a771867"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505159",
    "kind": "arxiv",
    "version": 2
  }
}