Pith Number

pith:YBO3MP4N

pith:2012:YBO3MP4NKL2JU2QERV7RF2CPHY

not attested not anchored not stored refs pending

Cohomology of arithmetic families of (phi,Gamma)-modules

Jonathan Pottharst, Kiran S. Kedlaya, Liang Xiao

arxiv:1203.5718 v3 · 2012-03-26 · 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{YBO3MP4NKL2JU2QERV7RF2CPHY}

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	2026-05-18T03:06:52.009287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c05db63f8d52f49a6a048d7f12e84f3e1c07cab377554a5501494349fc0a31bb

Aliases

arxiv: 1203.5718 · arxiv_version: 1203.5718v3 · doi: 10.48550/arxiv.1203.5718 · pith_short_12: YBO3MP4NKL2J · pith_short_16: YBO3MP4NKL2JU2QE · pith_short_8: YBO3MP4N

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/YBO3MP4NKL2JU2QERV7RF2CPHY \
  | 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: c05db63f8d52f49a6a048d7f12e84f3e1c07cab377554a5501494349fc0a31bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21b95906f126c564a6b9a162575827a1a0159da632ba6f6f8bdd2bf297a09715",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-26T16:27:55Z",
    "title_canon_sha256": "2a3f550035b785d55c5b425b3342ea626c99e5777ae6f08efc231a76a771a570"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5718",
    "kind": "arxiv",
    "version": 3
  }
}