Pith Number

pith:UPUAHHKH

pith:2009:UPUAHHKHYSA3DQ4MY3XWQH56UF

not attested not anchored not stored refs pending

Ramification of local fields and Fontaine's property (Pm)

Manabu Yoshida

arxiv:0905.1171 v4 · 2009-05-08 · 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{UPUAHHKHYSA3DQ4MY3XWQH56UF}

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	2026-05-18T04:24:45.434895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3e8039d47c481b1c38cc6ef681fbea1546cb008015af5dbb5dce26f397516d1

Aliases

arxiv: 0905.1171 · arxiv_version: 0905.1171v4 · doi: 10.48550/arxiv.0905.1171 · pith_short_12: UPUAHHKHYSA3 · pith_short_16: UPUAHHKHYSA3DQ4M · pith_short_8: UPUAHHKH

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/UPUAHHKHYSA3DQ4MY3XWQH56UF \
  | 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: a3e8039d47c481b1c38cc6ef681fbea1546cb008015af5dbb5dce26f397516d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfc0260463eb0dbc887c467185a9ff10b9cc377dda118c7bb90e72822c3c39ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-05-08T04:03:08Z",
    "title_canon_sha256": "5d6333d1fa71898daa02f82966d89bacb790831b2b6b72d17c120cb751813ed5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1171",
    "kind": "arxiv",
    "version": 4
  }
}