Pith Number

pith:FF45YHQO

pith:2015:FF45YHQOHI3W44SRZD43HZPZYP

not attested not anchored not stored refs pending

The moduli space of twisted canonical divisors

Gavril Farkas, Rahul Pandharipande

arxiv:1508.07940 v4 · 2015-08-31 · 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{FF45YHQOHI3W44SRZD43HZPZYP}

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	2026-05-18T01:17:18.858417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2979dc1e0e3a376e7251c8f9b3e5f9c3f4c1d713a257128b836311a2c4f6300b

Aliases

arxiv: 1508.07940 · arxiv_version: 1508.07940v4 · doi: 10.48550/arxiv.1508.07940 · pith_short_12: FF45YHQOHI3W · pith_short_16: FF45YHQOHI3W44SR · pith_short_8: FF45YHQO

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/FF45YHQOHI3W44SRZD43HZPZYP \
  | 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: 2979dc1e0e3a376e7251c8f9b3e5f9c3f4c1d713a257128b836311a2c4f6300b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b970cea91840c62c39ddb33c4f9a4643f14f8684704742771b70c72b48fcd3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-31T18:13:51Z",
    "title_canon_sha256": "5b20d00785ba971025afd5a6bb4d1ad085f7d212da768b2f40510d53ffaedb35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07940",
    "kind": "arxiv",
    "version": 4
  }
}