Pith Number

pith:27WHHERV

pith:2007:27WHHERVRKUBWM2XH2UHKP7AN3

not attested not anchored not stored refs pending

Semistable reduction for overconvergent F-isocrystals, IV: Local semistable reduction at nonmonomial valuations

Kiran S. Kedlaya

arxiv:0712.3400 v4 · 2007-12-20 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27WHHERVRKUBWM2XH2UHKP7AN3}

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	2026-05-18T03:02:45.055234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7ec7392358aa81b33573ea8753fe06ee106fcf5b7c86193c1c5175c11156ad6

Aliases

arxiv: 0712.3400 · arxiv_version: 0712.3400v4 · doi: 10.48550/arxiv.0712.3400 · pith_short_12: 27WHHERVRKUB · pith_short_16: 27WHHERVRKUBWM2X · pith_short_8: 27WHHERV

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/27WHHERVRKUBWM2XH2UHKP7AN3 \
  | 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: d7ec7392358aa81b33573ea8753fe06ee106fcf5b7c86193c1c5175c11156ad6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "282fe46decbc715e2b6ad0a286be9cc38180205d581f1126e17b6858cc56423f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2007-12-20T12:55:26Z",
    "title_canon_sha256": "7efdb8fb67ba233d9a5e7f6e82b13e3b085bab52f49a6a9fe81e878085407fef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3400",
    "kind": "arxiv",
    "version": 4
  }
}