Pith Number

pith:IO3NPDJB

pith:2019:IO3NPDJBL7CHBK2C2SBNXS5RWD

not attested not anchored not stored refs pending

The crystalline comparison of Ainf-cohomology: the case of good reduction

Zijian Yao

arxiv:1908.06366 v1 · 2019-08-18 · math.AG · 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{IO3NPDJBL7CHBK2C2SBNXS5RWD}

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	2026-07-04T23:58:15.044740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43b6d78d215fc470ab42d482dbcbb1b0fb7e814aa1dc79ca1cbe7324516fe901

Aliases

arxiv: 1908.06366 · arxiv_version: 1908.06366v1 · doi: 10.48550/arxiv.1908.06366 · pith_short_12: IO3NPDJBL7CH · pith_short_16: IO3NPDJBL7CHBK2C · pith_short_8: IO3NPDJB

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/IO3NPDJBL7CHBK2C2SBNXS5RWD \
  | 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: 43b6d78d215fc470ab42d482dbcbb1b0fb7e814aa1dc79ca1cbe7324516fe901

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "478c83c607df98011b125f7b200edc3d03036cc528d9a64b6e88d3c8ae8b4909",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-18T03:05:11Z",
    "title_canon_sha256": "973ca301c5b64409cf7423ac2d1b7deef9ac67bea14eddbe1c0d16d2dadd18c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06366",
    "kind": "arxiv",
    "version": 1
  }
}