Pith Number

pith:S3GHO2GC

pith:2007:S3GHO2GCYJWS3HXDSAXTDCB7Q3

not attested not anchored not stored refs pending

The Existence of Pure Free Resolutions

David Eisenbud, Gunnar Floystad, Jerzy Weyman

arxiv:0709.1529 v5 · 2007-09-11 · math.AC · 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{S3GHO2GCYJWS3HXDSAXTDCB7Q3}

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	2026-05-18T04:00:27.277962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96cc7768c2c26d2d9ee3902f31883f86fae72533b2a7c674ef18d8bdd16a4dfd

Aliases

arxiv: 0709.1529 · arxiv_version: 0709.1529v5 · doi: 10.48550/arxiv.0709.1529 · pith_short_12: S3GHO2GCYJWS · pith_short_16: S3GHO2GCYJWS3HXD · pith_short_8: S3GHO2GC

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/S3GHO2GCYJWS3HXDSAXTDCB7Q3 \
  | 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: 96cc7768c2c26d2d9ee3902f31883f86fae72533b2a7c674ef18d8bdd16a4dfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0676d72f5bb774a8e78d85dabc199d03696f13f8cd747d0470e3ea860bd44db0",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2007-09-11T19:51:02Z",
    "title_canon_sha256": "84759be753054928648d625c4962800205239c046a22b641b4f28212eaebafc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.1529",
    "kind": "arxiv",
    "version": 5
  }
}