Pith Number

pith:76XGGZ45

pith:2018:76XGGZ45UVS6BVHMQK7Y7HAC72

not attested not anchored not stored refs pending

Stark points and Hida-Rankin p-adic L-function

Daniele Casazza, Victor Rotger

arxiv:1802.08450 v1 · 2018-02-23 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76XGGZ45UVS6BVHMQK7Y7HAC72}

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	2026-05-18T00:22:43.711635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffae63679da565e0d4ec82bf8f9c02fe9b0e6cd26cb84be39c7f6aeb9e41ead2

Aliases

arxiv: 1802.08450 · arxiv_version: 1802.08450v1 · doi: 10.48550/arxiv.1802.08450 · pith_short_12: 76XGGZ45UVS6 · pith_short_16: 76XGGZ45UVS6BVHM · pith_short_8: 76XGGZ45

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/76XGGZ45UVS6BVHMQK7Y7HAC72 \
  | 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: ffae63679da565e0d4ec82bf8f9c02fe9b0e6cd26cb84be39c7f6aeb9e41ead2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a940b9656dcec016e7b525b9e6cbddc97caccd4f52c5e203dbd9fd2715708c2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-02-23T09:15:40Z",
    "title_canon_sha256": "10a2e590dc2217d414e31b130d64cc143c2bfa13178a618ab844b98c389d7a45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08450",
    "kind": "arxiv",
    "version": 1
  }
}