Pith Number

pith:P7BYMOI5

pith:2010:P7BYMOI56ATCKO7ZWDEDSNYVTD

not attested not anchored not stored refs pending

Modifications of Hodge bundles and enumerative geometry : the stable hyperelliptic locus

Ziv Ran

arxiv:1011.0406 v5 · 2010-11-01 · 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{P7BYMOI56ATCKO7ZWDEDSNYVTD}

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	2026-05-18T02:23:37.910334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fc386391df026253bf9b0c839371598d9e245c7e73555be6f56ce83c5c0830d

Aliases

arxiv: 1011.0406 · arxiv_version: 1011.0406v5 · doi: 10.48550/arxiv.1011.0406 · pith_short_12: P7BYMOI56ATC · pith_short_16: P7BYMOI56ATCKO7Z · pith_short_8: P7BYMOI5

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/P7BYMOI56ATCKO7ZWDEDSNYVTD \
  | 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: 7fc386391df026253bf9b0c839371598d9e245c7e73555be6f56ce83c5c0830d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a02765a60a2a1c04976ba793b11e4462dcbc01092ecd0bdf100107af8d73295",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-01T18:34:59Z",
    "title_canon_sha256": "9a1da02c0ff4516eaba7c400bbb41dc82e3bf4f22c6e094f445fa8efbb7a7c84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0406",
    "kind": "arxiv",
    "version": 5
  }
}