Pith Number

pith:VPLGMO27

pith:2011:VPLGMO27BBEOPCRCC53CV7SRDI

not attested not anchored not stored refs pending

The QuillenSuslin Package for Macaulay2

Branden Stone, Brett Barwick

arxiv:1107.4383 v2 · 2011-07-21 · 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{VPLGMO27BBEOPCRCC53CV7SRDI}

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	2026-05-18T03:25:14.804265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abd6663b5f0848e78a2217762afe511a2286fadb16fb25ab5c806efc9ce0fd93

Aliases

arxiv: 1107.4383 · arxiv_version: 1107.4383v2 · doi: 10.48550/arxiv.1107.4383 · pith_short_12: VPLGMO27BBEO · pith_short_16: VPLGMO27BBEOPCRC · pith_short_8: VPLGMO27

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/VPLGMO27BBEOPCRCC53CV7SRDI \
  | 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: abd6663b5f0848e78a2217762afe511a2286fadb16fb25ab5c806efc9ce0fd93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2da2c6004a658b9ea82beda395164bb9ac338b7250c3ae2756a6e2f6efc13edc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-07-21T21:18:34Z",
    "title_canon_sha256": "06948e9ba1862eacd6ed6ba763b5a46a6962476faf1e0056e505baf9f2ce23fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4383",
    "kind": "arxiv",
    "version": 2
  }
}