Pith Number

pith:JAFT4XNU

pith:2010:JAFT4XNU4LTNTRJQRXNN34HWQF

not attested not anchored not stored refs pending

Maps on ultrametric spaces, Hensel's Lemma, and differential equations over valued fields

Franz-Viktor Kuhlmann

arxiv:1003.5677 v1 · 2010-03-29 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JAFT4XNU4LTNTRJQRXNN34HWQF}

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	2026-05-18T03:29:28.070428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

480b3e5db4e2e6d9c5308ddaddf0f6816038924b3cc0e9580a158c537ef11243

Aliases

arxiv: 1003.5677 · arxiv_version: 1003.5677v1 · doi: 10.48550/arxiv.1003.5677 · pith_short_12: JAFT4XNU4LTN · pith_short_16: JAFT4XNU4LTNTRJQ · pith_short_8: JAFT4XNU

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/JAFT4XNU4LTNTRJQRXNN34HWQF \
  | 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: 480b3e5db4e2e6d9c5308ddaddf0f6816038924b3cc0e9580a158c537ef11243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6d1abd2b4133a1110b7c2a35a1bacbe229f36a052bc05174ade8c64248fd347",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-03-29T20:58:43Z",
    "title_canon_sha256": "e557f9f3dcb03a6dd44bdcc78286e591befacd662d009ac493e80294ae619597"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5677",
    "kind": "arxiv",
    "version": 1
  }
}