pith. sign in
Pith Number

pith:EUGECNUC

pith:2010:EUGECNUCU7MMHQVDHRR3DQI4KR
not attested not anchored not stored refs pending

Irrational centers

S\'andor J. Kov\'acs

arxiv:1011.4923 v2 · 2010-11-22 · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EUGECNUCU7MMHQVDHRR3DQI4KR}

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 2026-05-17T23:49:22.944703Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

250c413682a7d8c3c2a33c63b1c11c547f8224325c86fb47578dad6c3349853d

Aliases

arxiv: 1011.4923 · arxiv_version: 1011.4923v2 · doi: 10.48550/arxiv.1011.4923 · pith_short_12: EUGECNUCU7MM · pith_short_16: EUGECNUCU7MMHQVD · pith_short_8: EUGECNUC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EUGECNUCU7MMHQVDHRR3DQI4KR \
  | 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: 250c413682a7d8c3c2a33c63b1c11c547f8224325c86fb47578dad6c3349853d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "88c7ef45fa16623d9367008afb6c681e1a5a798ba1de2479c00d05f6c3822a9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-22T20:06:40Z",
    "title_canon_sha256": "120d63eec5493560784da17f0ee5d86cfcffee78d57b5b0eb8c2269cd806fd4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4923",
    "kind": "arxiv",
    "version": 2
  }
}