Pith Number

pith:KE7NIG3A

pith:2006:KE7NIG3A3TRJ2DRGHP32RVLTU5

not attested not anchored not stored refs pending

\bs{p}-Adic Confluence of $\bs{q}$-Difference Equations

Andrea Pulita

arxiv:math/0612729 v3 · 2006-12-27 · 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{KE7NIG3A3TRJ2DRGHP32RVLTU5}

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	2026-05-18T03:02:31.085395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

513ed41b60dce29d0e263bf7a8d573a759f41feedfdc6708b92abc25694a97d0

Aliases

arxiv: math/0612729 · arxiv_version: math/0612729v3 · doi: 10.48550/arxiv.math/0612729 · pith_short_12: KE7NIG3A3TRJ · pith_short_16: KE7NIG3A3TRJ2DRG · pith_short_8: KE7NIG3A

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/KE7NIG3A3TRJ2DRGHP32RVLTU5 \
  | 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: 513ed41b60dce29d0e263bf7a8d573a759f41feedfdc6708b92abc25694a97d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80d8d6c2632b22c78939044568cfd3ff1380b7c55e0fd6f316cae5d70d5d47ef",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-12-27T20:57:26Z",
    "title_canon_sha256": "a150d0067e37c63ed0e111005792e74cdcd694f6252867e0d435bbf883bd7d1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612729",
    "kind": "arxiv",
    "version": 3
  }
}