Pith Number

pith:PCFR7ZNJ

pith:2013:PCFR7ZNJMDSPXIX2ASSGPU4QCO

not attested not anchored not stored refs pending

Notes on a p-adic exponential map for the Picard group

Wataru Kai

arxiv:1309.6186 v2 · 2013-09-24 · 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{PCFR7ZNJMDSPXIX2ASSGPU4QCO}

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	2026-05-18T00:52:04.514493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

788b1fe5a960e4fba2fa04a467d390139642f2020e8a2f8bb9367e901dbf080c

Aliases

arxiv: 1309.6186 · arxiv_version: 1309.6186v2 · doi: 10.48550/arxiv.1309.6186 · pith_short_12: PCFR7ZNJMDSP · pith_short_16: PCFR7ZNJMDSPXIX2 · pith_short_8: PCFR7ZNJ

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/PCFR7ZNJMDSPXIX2ASSGPU4QCO \
  | 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: 788b1fe5a960e4fba2fa04a467d390139642f2020e8a2f8bb9367e901dbf080c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ccb844b3cde2308e097ad9e8ec05f574881274533d1f30e4dd229205c6b25a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-24T14:43:39Z",
    "title_canon_sha256": "7f75dea4a3aa09be4ea5541a5a7a2b48e419cb09678520f28d6f6daa22afba95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6186",
    "kind": "arxiv",
    "version": 2
  }
}