Pith Number

pith:VNOPJSAI

pith:2010:VNOPJSAIRJ65XHQJWCFUKKMN6J

not attested not anchored not stored refs pending

Theta-duality on Prym varieties and a Torelli Theorem

Juan Carlos Naranjo, Mart\'i Lahoz

arxiv:1010.0398 v2 · 2010-10-03 · 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{VNOPJSAIRJ65XHQJWCFUKKMN6J}

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	2026-05-18T04:16:40.873932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab5cf4c8088a7ddb9e09b08b45298df24b4dc1d4f358939006d5e801228811bb

Aliases

arxiv: 1010.0398 · arxiv_version: 1010.0398v2 · doi: 10.48550/arxiv.1010.0398 · pith_short_12: VNOPJSAIRJ65 · pith_short_16: VNOPJSAIRJ65XHQJ · pith_short_8: VNOPJSAI

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/VNOPJSAIRJ65XHQJWCFUKKMN6J \
  | 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: ab5cf4c8088a7ddb9e09b08b45298df24b4dc1d4f358939006d5e801228811bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "619e23a10df3aa321fcd388acf9cbff33ae87a3b80ad1db2952e221c4d1f8d5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-03T12:48:56Z",
    "title_canon_sha256": "03b0397d3aadfb84c35125008cff86afdd93dae18c638c6b54039cfbecb3aa53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0398",
    "kind": "arxiv",
    "version": 2
  }
}