Pith Number

pith:A4BO4TBL

pith:2013:A4BO4TBLFIUXAV6R6YFIKKSIGC

not attested not anchored not stored refs pending

On Dwork's p-adic formal congruences theorem and hypergeometric mirror maps

Eric Delaygue (ICJ), Julien Roques (IF), Tanguy Rivoal (IF)

arxiv:1309.5902 v1 · 2013-09-23 · 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{A4BO4TBLFIUXAV6R6YFIKKSIGC}

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	2026-05-18T03:12:33.770175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0702ee4c2b2a297057d1f60a852a4830b829bf006098026929b695ec3fba3750

Aliases

arxiv: 1309.5902 · arxiv_version: 1309.5902v1 · doi: 10.48550/arxiv.1309.5902 · pith_short_12: A4BO4TBLFIUX · pith_short_16: A4BO4TBLFIUXAV6R · pith_short_8: A4BO4TBL

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/A4BO4TBLFIUXAV6R6YFIKKSIGC \
  | 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: 0702ee4c2b2a297057d1f60a852a4830b829bf006098026929b695ec3fba3750

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dd15048b6a74ab65ab76e0469465f49fed5d4104045c934244bbe3470728429",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-23T18:09:30Z",
    "title_canon_sha256": "76a4fa5d5b07b9b2564ee53ea1346f7f0fd6e0e9561907701a2ca5112713acfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5902",
    "kind": "arxiv",
    "version": 1
  }
}