Pith Number

pith:TA3K7NW5

pith:2010:TA3K7NW5OCGK6CRJQAWQLM5E26

not attested not anchored not stored refs pending

Computing local p-adic height pairings on hyperelliptic curves

Amnon Besser, Jennifer S. Balakrishnan

arxiv:1010.6009 v1 · 2010-10-28 · math.NT · 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{TA3K7NW5OCGK6CRJQAWQLM5E26}

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	2026-05-18T04:38:14.762082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9836afb6dd708caf0a29802d05b3a4d797eb5e5cd3521416271590bb7520ac7b

Aliases

arxiv: 1010.6009 · arxiv_version: 1010.6009v1 · doi: 10.48550/arxiv.1010.6009 · pith_short_12: TA3K7NW5OCGK · pith_short_16: TA3K7NW5OCGK6CRJ · pith_short_8: TA3K7NW5

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/TA3K7NW5OCGK6CRJQAWQLM5E26 \
  | 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: 9836afb6dd708caf0a29802d05b3a4d797eb5e5cd3521416271590bb7520ac7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93a27bbf6719f1b2b58ebcfceb0b7fa892b386f64fc5f88a8049a02a2f7cb426",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-10-28T16:28:13Z",
    "title_canon_sha256": "ba67f7f058e51929a2e1a6065e9102dc1e1cbb5b548dc3dc326bf03cc90021c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.6009",
    "kind": "arxiv",
    "version": 1
  }
}