Pith Number

pith:RKHH5VYA

pith:2008:RKHH5VYALRODQNJAOEE4EKDEFY

not attested not anchored not stored refs pending

Multivariate $p$-adic formal congruences and integrality of Taylor coefficients of mirror maps

Christian Krattenthaler (Universit\"at Wien), Tanguy Rivoal (CNRS et Universit\'e Grenoble 1)

arxiv:0804.3049 v3 · 2008-04-18 · math.NT · hep-th · 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{RKHH5VYALRODQNJAOEE4EKDEFY}

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	2026-05-18T04:03:32.809682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a8e7ed7005c5c3835207109c228642e1b4fdd0c0b00e31de1899121e781de2a

Aliases

arxiv: 0804.3049 · arxiv_version: 0804.3049v3 · doi: 10.48550/arxiv.0804.3049 · pith_short_12: RKHH5VYALROD · pith_short_16: RKHH5VYALRODQNJA · pith_short_8: RKHH5VYA

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/RKHH5VYALRODQNJAOEE4EKDEFY \
  | 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: 8a8e7ed7005c5c3835207109c228642e1b4fdd0c0b00e31de1899121e781de2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fb3bc5a9c50cf0af423af8d95d29b0e79b2d41a5afb5326588d75d71a0e2272",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-04-18T15:57:15Z",
    "title_canon_sha256": "612744f310ce832b59517f2a305142f6d5f21026f45795380cafe906c9e6ba53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.3049",
    "kind": "arxiv",
    "version": 3
  }
}