Pith Number

pith:IKHTLRA7

pith:2013:IKHTLRA74FDYHXSFWIIL5CO22V

not attested not anchored not stored refs pending

Descent on toric fibrations

Alexei N. Skorobogatov

arxiv:1312.7539 v1 · 2013-12-29 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IKHTLRA74FDYHXSFWIIL5CO22V}

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	2026-05-18T03:03:43.101516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

428f35c41fe14783de45b210be89dad55873323d8db4570db50a05b96cac3c88

Aliases

arxiv: 1312.7539 · arxiv_version: 1312.7539v1 · doi: 10.48550/arxiv.1312.7539 · pith_short_12: IKHTLRA74FDY · pith_short_16: IKHTLRA74FDYHXSF · pith_short_8: IKHTLRA7

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/IKHTLRA74FDYHXSFWIIL5CO22V \
  | 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: 428f35c41fe14783de45b210be89dad55873323d8db4570db50a05b96cac3c88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9e03d2b79a964e7c370993df4f5842433cc7417b4ef75d1a3b02a4e276c248c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-29T14:03:16Z",
    "title_canon_sha256": "678a7b531ef8cab7cb1dd75bfea38eaee7ccfc072c5904e11b340c62b1fe1c6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7539",
    "kind": "arxiv",
    "version": 1
  }
}