Pith Number

pith:GXMBXTTW

pith:2019:GXMBXTTWZC4H3GT3WPXXGQ25IU

not attested not anchored not stored refs pending

Tate Resolutions and Maximal Cohen-Macaulay Approximations

David Eisenbud, Frank-Olaf Schreyer

arxiv:1906.06398 v1 · 2019-06-14 · 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{GXMBXTTWZC4H3GT3WPXXGQ25IU}

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	2026-05-17T23:42:59.776380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35d81bce76c8b87d9a7bb3ef73435d45391aab643377da6ed475d5c24885c540

Aliases

arxiv: 1906.06398 · arxiv_version: 1906.06398v1 · doi: 10.48550/arxiv.1906.06398 · pith_short_12: GXMBXTTWZC4H · pith_short_16: GXMBXTTWZC4H3GT3 · pith_short_8: GXMBXTTW

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/GXMBXTTWZC4H3GT3WPXXGQ25IU \
  | 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: 35d81bce76c8b87d9a7bb3ef73435d45391aab643377da6ed475d5c24885c540

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f06283c5dc60d62605836986f4389fc57bf9dc34479a4c38b537f1db9413492",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-06-14T20:52:56Z",
    "title_canon_sha256": "ffafee34e7e721b488ec62c638afbaf09386b0f05afec6cc60adbab1e1045f18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06398",
    "kind": "arxiv",
    "version": 1
  }
}