Pith Number

pith:VMOOSSBM

pith:2016:VMOOSSBMINUII2NZHDQV6C5OKA

not attested not anchored not stored refs pending

On categories of (phi, Gamma)-modules

Jonathan Pottharst, Kiran S. Kedlaya

arxiv:1608.03692 v3 · 2016-08-12 · 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{VMOOSSBMINUII2NZHDQV6C5OKA}

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	2026-05-18T00:22:33.475510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab1ce9482c43688469b938e15f0bae500d2f59efa9b35a48da255d1ed5038809

Aliases

arxiv: 1608.03692 · arxiv_version: 1608.03692v3 · doi: 10.48550/arxiv.1608.03692 · pith_short_12: VMOOSSBMINUI · pith_short_16: VMOOSSBMINUII2NZ · pith_short_8: VMOOSSBM

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/VMOOSSBMINUII2NZHDQV6C5OKA \
  | 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: ab1ce9482c43688469b938e15f0bae500d2f59efa9b35a48da255d1ed5038809

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67d614da213dc21718e909c22f380942a60abe7e1904824de0e496a788f3a600",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-12T07:10:20Z",
    "title_canon_sha256": "0b7ea6d7eb13f7fc1e78987e1905d856f7534b4e5c4b95820089a3dc01630e37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03692",
    "kind": "arxiv",
    "version": 3
  }
}