pith. sign in
Pith Number

pith:SLOMAYF7

pith:2010:SLOMAYF7PYOHQSXIQC7F3C6HQB
not attested not anchored not stored refs pending

Jet schemes of toric surfaces (a short version)

Hussein Mourtada

arxiv:1012.2808 v1 · 2010-12-13 · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SLOMAYF7PYOHQSXIQC7F3C6HQB}

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 2026-05-18T04:33:27.718626Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

92dcc060bf7e1c784ae880be5d8bc78048a985b299eaf03d1c80720d5b719c90

Aliases

arxiv: 1012.2808 · arxiv_version: 1012.2808v1 · doi: 10.48550/arxiv.1012.2808 · pith_short_12: SLOMAYF7PYOH · pith_short_16: SLOMAYF7PYOHQSXI · pith_short_8: SLOMAYF7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SLOMAYF7PYOHQSXIQC7F3C6HQB \
  | 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: 92dcc060bf7e1c784ae880be5d8bc78048a985b299eaf03d1c80720d5b719c90
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ffa07e194485a148c3b88a0aa96b15328b27e1f1e91231ba8c157f1a0c3cefe0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-13T17:32:20Z",
    "title_canon_sha256": "078f4ba6f62b799ff700a7d095fca68f7235506c67100cf0616b269a7e875047"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2808",
    "kind": "arxiv",
    "version": 1
  }
}