Pith Number

pith:EH676UR6

pith:2014:EH676UR6BZW3F3TKK3GSSJHJO5

not attested not anchored not stored refs pending

Dual F-signature of Cohen-Macaulay modules over rational double points

Yusuke Nakajima

arxiv:1407.5230 v2 · 2014-07-20 · 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{EH676UR6BZW3F3TKK3GSSJHJO5}

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	2026-05-18T02:16:41.240129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21fdff523e0e6db2ee6a56cd2924e977602f111f90559f6386157f7072c22b0e

Aliases

arxiv: 1407.5230 · arxiv_version: 1407.5230v2 · doi: 10.48550/arxiv.1407.5230 · pith_short_12: EH676UR6BZW3 · pith_short_16: EH676UR6BZW3F3TK · pith_short_8: EH676UR6

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/EH676UR6BZW3F3TKK3GSSJHJO5 \
  | 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: 21fdff523e0e6db2ee6a56cd2924e977602f111f90559f6386157f7072c22b0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6231ce71f5fe00e97cbdd7ce14c8941176b1e78b140cb885350c6d2ddb37d5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-07-20T00:45:59Z",
    "title_canon_sha256": "d8d7934702ef61e75a64fb9c58deb3d44cb3a66838d9b2d9a780216d9ff0a4ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5230",
    "kind": "arxiv",
    "version": 2
  }
}