Pith Number

pith:U6Z4NRDJ

pith:2015:U6Z4NRDJVWM3VNZCKTLG5TBTER

not attested not anchored not stored refs pending

On large theta-characteristics with prescribed vanishing

Edoardo Ballico, Francesco Bastianelli, Luca Benzo

arxiv:1507.07665 v2 · 2015-07-28 · 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{U6Z4NRDJVWM3VNZCKTLG5TBTER}

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	2026-05-18T01:32:07.769497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7b3c6c469ad99bab72254d66ecc33245442705669d418e32cbbbda427bda1bd

Aliases

arxiv: 1507.07665 · arxiv_version: 1507.07665v2 · doi: 10.48550/arxiv.1507.07665 · pith_short_12: U6Z4NRDJVWM3 · pith_short_16: U6Z4NRDJVWM3VNZC · pith_short_8: U6Z4NRDJ

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/U6Z4NRDJVWM3VNZCKTLG5TBTER \
  | 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: a7b3c6c469ad99bab72254d66ecc33245442705669d418e32cbbbda427bda1bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5c6d5a0f9833600b327f588ce84c10896acf3a237ebaed36627f215ba523588",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-28T06:50:01Z",
    "title_canon_sha256": "dbb11be1485caf85cab0d3a882c56eddb86c6edb1124e9268ab219e4187027dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07665",
    "kind": "arxiv",
    "version": 2
  }
}