Pith Number

pith:FLI23ZC2

pith:2015:FLI23ZC2XRFWDILACPWRLRWQ6A

not attested not anchored not stored refs pending

On the Log-Picard functor for aligned degenerations of curves

Alberto Bellardini

arxiv:1507.00506 v3 · 2015-07-02 · 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{FLI23ZC2XRFWDILACPWRLRWQ6A}

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	2026-05-18T01:09:42.180924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ad1ade45abc4b61a16013ed15c6d0f02d8a2288ca8cafdd5c64d5a94aebe52d

Aliases

arxiv: 1507.00506 · arxiv_version: 1507.00506v3 · doi: 10.48550/arxiv.1507.00506 · pith_short_12: FLI23ZC2XRFW · pith_short_16: FLI23ZC2XRFWDILA · pith_short_8: FLI23ZC2

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/FLI23ZC2XRFWDILACPWRLRWQ6A \
  | 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: 2ad1ade45abc4b61a16013ed15c6d0f02d8a2288ca8cafdd5c64d5a94aebe52d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d7aa8fb1adc274bce55e84d049d994d45d2a44a7dbd7a69b8e7fdbdfeb905fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-02T10:20:19Z",
    "title_canon_sha256": "72b4cfe0352cc31455aaed8928a7a5cac064683c0c10fd7e6300543a4f4f829b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00506",
    "kind": "arxiv",
    "version": 3
  }
}