Pith Number

pith:DVUCS4KV

pith:2012:DVUCS4KVYBDNZFC4GDMIQWIEKH

not attested not anchored not stored refs pending

Coleman-Gross height pairings and the $p$-adic sigma function

Amnon Besser, Jennifer S. Balakrishnan

arxiv:1201.6016 v2 · 2012-01-29 · 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{DVUCS4KVYBDNZFC4GDMIQWIEKH}

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	2026-05-18T03:50:10.814578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d68297155c046dc945c30d888590451e2f4cfbc8fcbddb7477213347f821ef7

Aliases

arxiv: 1201.6016 · arxiv_version: 1201.6016v2 · doi: 10.48550/arxiv.1201.6016 · pith_short_12: DVUCS4KVYBDN · pith_short_16: DVUCS4KVYBDNZFC4 · pith_short_8: DVUCS4KV

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/DVUCS4KVYBDNZFC4GDMIQWIEKH \
  | 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: 1d68297155c046dc945c30d888590451e2f4cfbc8fcbddb7477213347f821ef7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f72209edde98335a806fe1a614e994ecc5797df8aad869e822a831f4caa99534",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-29T06:35:02Z",
    "title_canon_sha256": "cb4545c41dea75e33a456d57ef2fa58385b361d7bd31a9039690d38158f8bdee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6016",
    "kind": "arxiv",
    "version": 2
  }
}