Pith Number

pith:XL32BT2O

pith:2009:XL32BT2OUTIQXQWDKVUS2OSABK

not attested not anchored not stored refs pending

Degenerations and limit Frobenius structures in rigid cohomology

Alan G.B. Lauder

arxiv:0912.5185 v1 · 2009-12-28 · 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{XL32BT2OUTIQXQWDKVUS2OSABK}

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	2026-05-17T23:53:19.845657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baf7a0cf4ea4d10bc2c355692d3a400a996ecf987e9bb32c69fd6d905adfda69

Aliases

arxiv: 0912.5185 · arxiv_version: 0912.5185v1 · doi: 10.48550/arxiv.0912.5185 · pith_short_12: XL32BT2OUTIQ · pith_short_16: XL32BT2OUTIQXQWD · pith_short_8: XL32BT2O

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/XL32BT2OUTIQXQWDKVUS2OSABK \
  | 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: baf7a0cf4ea4d10bc2c355692d3a400a996ecf987e9bb32c69fd6d905adfda69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b070d4d73b1333b33f56633220fdea5fb1d1291d78d4a9082f5b00704319d4c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-12-28T16:00:28Z",
    "title_canon_sha256": "fdc98693e903e42ee23892ade99fda46bff77fa9af43d3d5fb5b4a6f80571c48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5185",
    "kind": "arxiv",
    "version": 1
  }
}