Pith Number

pith:24DHW33T

pith:2008:24DHW33TKKXWV5JO2VDYLU4USY

not attested not anchored not stored refs pending

On Ramification Filtrations and p-adic Differential Equations, II: mixed characteristic case

Liang Xiao

arxiv:0811.3792 v2 · 2008-11-24 · 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{24DHW33TKKXWV5JO2VDYLU4USY}

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	2026-05-17T23:53:20.098831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7067b6f7352af6af52ed54785d3949622d85be141ab9677f687398f980bb957

Aliases

arxiv: 0811.3792 · arxiv_version: 0811.3792v2 · doi: 10.48550/arxiv.0811.3792 · pith_short_12: 24DHW33TKKXW · pith_short_16: 24DHW33TKKXWV5JO · pith_short_8: 24DHW33T

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/24DHW33TKKXWV5JO2VDYLU4USY \
  | 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: d7067b6f7352af6af52ed54785d3949622d85be141ab9677f687398f980bb957

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84dce24219c7c35feff98547e2b68f5d282bdaa00bae76d286b2737e256f47cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-11-24T02:44:25Z",
    "title_canon_sha256": "2c505463e98d052fb23c1c54bf82eb4c72a519704796fd35f3c98fa3e63fc86f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.3792",
    "kind": "arxiv",
    "version": 2
  }
}