pith. sign in
Pith Number

pith:ELDOMADC

pith:2016:ELDOMADCYKQVDEGX6AUGJVJD3B
not attested not anchored not stored refs pending

Poincar\'e series of compressed local Artinian rings with odd top socle degree

Adela Vraciu, Andrew R. Kustin, Liana M. Sega

arxiv:1607.05594 v2 · 2016-07-19 · math.AC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ELDOMADCYKQVDEGX6AUGJVJD3B}

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 2026-05-18T00:41:12.941248Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

22c6e60062c2a15190d7f02864d523d84ef42718011de8be974298a9a2fa5df4

Aliases

arxiv: 1607.05594 · arxiv_version: 1607.05594v2 · doi: 10.48550/arxiv.1607.05594 · pith_short_12: ELDOMADCYKQV · pith_short_16: ELDOMADCYKQVDEGX · pith_short_8: ELDOMADC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ELDOMADCYKQVDEGX6AUGJVJD3B \
  | 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: 22c6e60062c2a15190d7f02864d523d84ef42718011de8be974298a9a2fa5df4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "02bb4af4ace0d7c405c261ec61fe48cb46c5859862470eb8121d491149ddaf87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-07-19T14:19:09Z",
    "title_canon_sha256": "487113448987bfb020c5639a1fd0e6c3adc34ae9af79d7ca579ce892d7195c90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05594",
    "kind": "arxiv",
    "version": 2
  }
}