Pith Number

pith:77BMPB4D

pith:2015:77BMPB4D3TZ5XCUW53TPRN3EZB

not attested not anchored not stored refs pending

Components of moduli spaces of spin curves with the expected codimension II

Luca Benzo

arxiv:1502.05262 v3 · 2015-02-18 · 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{77BMPB4D3TZ5XCUW53TPRN3EZB}

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	2026-05-18T00:10:48.352565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffc2c78783dcf3db8a96eee6f8b764c86f09f7804a578e4b003c7077f1bab6df

Aliases

arxiv: 1502.05262 · arxiv_version: 1502.05262v3 · doi: 10.48550/arxiv.1502.05262 · pith_short_12: 77BMPB4D3TZ5 · pith_short_16: 77BMPB4D3TZ5XCUW · pith_short_8: 77BMPB4D

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/77BMPB4D3TZ5XCUW53TPRN3EZB \
  | 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: ffc2c78783dcf3db8a96eee6f8b764c86f09f7804a578e4b003c7077f1bab6df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbe12879c0b9d25adfe570ff037fdd2e8d502f7c8551506b77c947aa325f148d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-02-18T15:04:36Z",
    "title_canon_sha256": "34f63face0d7eec45168715e4af69cb450f7edd48d7b00412cc27e6643595764"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05262",
    "kind": "arxiv",
    "version": 3
  }
}