Pith Number

pith:7Q2NUOWZ

pith:2013:7Q2NUOWZKRN2P4HKUG5CL6BELI

not attested not anchored not stored refs pending

Fiber integration on the Demailly tower

Lionel Darondeau

arxiv:1312.0109 v2 · 2013-11-30 · math.CV · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7Q2NUOWZKRN2P4HKUG5CL6BELI}

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	2026-05-18T02:20:12.739958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc34da3ad9545ba7f0eaa1ba25f8245a114fdfaeed9edca329248aa78477b39f

Aliases

arxiv: 1312.0109 · arxiv_version: 1312.0109v2 · doi: 10.48550/arxiv.1312.0109 · pith_short_12: 7Q2NUOWZKRN2 · pith_short_16: 7Q2NUOWZKRN2P4HK · pith_short_8: 7Q2NUOWZ

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/7Q2NUOWZKRN2P4HKUG5CL6BELI \
  | 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: fc34da3ad9545ba7f0eaa1ba25f8245a114fdfaeed9edca329248aa78477b39f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4efeb96ed8e32dee302e75e36f34ac1ec3ea86958542e8257ec8423b61cc049a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-11-30T14:10:50Z",
    "title_canon_sha256": "b9b5e1fe8657340f633fb3aa5611f9a9b39c56b489c054bf978e79f2fda9bd66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0109",
    "kind": "arxiv",
    "version": 2
  }
}