Pith Number

pith:3U26UJA4

pith:2017:3U26UJA4SDLJJU2IKPTE4E7WKT

not attested not anchored not stored refs pending

On the vanishing of self extensions over Cohen-Macaulay local rings

Arash Sadeghi, Olgur Celikbas, Ryo Takahashi, Tokuji Araya

arxiv:1703.06160 v1 · 2017-03-17 · 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{3U26UJA4SDLJJU2IKPTE4E7WKT}

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	2026-05-18T00:48:25.560410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd35ea241c90d694d34853e64e13f654da9a314732dbb0a670515f7dc263d7f5

Aliases

arxiv: 1703.06160 · arxiv_version: 1703.06160v1 · doi: 10.48550/arxiv.1703.06160 · pith_short_12: 3U26UJA4SDLJ · pith_short_16: 3U26UJA4SDLJJU2I · pith_short_8: 3U26UJA4

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/3U26UJA4SDLJJU2IKPTE4E7WKT \
  | 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: dd35ea241c90d694d34853e64e13f654da9a314732dbb0a670515f7dc263d7f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4645709f3b93306668f71253a98dad1027daef6e47dbbe11931e9962bc9cecf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-03-17T18:37:40Z",
    "title_canon_sha256": "8eb17d7a40d3cc79db1e51a128fdca2c871bce4f63fa6426612e91b2c6a1e902"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06160",
    "kind": "arxiv",
    "version": 1
  }
}