Pith Number

pith:FU7DHLQ7

pith:2012:FU7DHLQ7MUWYU3H6LN7JHC5LUD

not attested not anchored not stored refs pending

Families of p-adic Galois representations and (phi,Gamma)-modules

Eugen Hellmann

arxiv:1202.3413 v1 · 2012-02-15 · 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{FU7DHLQ7MUWYU3H6LN7JHC5LUD}

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	2026-05-18T04:02:13.919020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d3e33ae1f652d8a6cfe5b7e938baba0dae9aa1087a2446297ccbcfa391de123

Aliases

arxiv: 1202.3413 · arxiv_version: 1202.3413v1 · doi: 10.48550/arxiv.1202.3413 · pith_short_12: FU7DHLQ7MUWY · pith_short_16: FU7DHLQ7MUWYU3H6 · pith_short_8: FU7DHLQ7

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/FU7DHLQ7MUWYU3H6LN7JHC5LUD \
  | 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: 2d3e33ae1f652d8a6cfe5b7e938baba0dae9aa1087a2446297ccbcfa391de123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6495e9a95a6fbac94901000a45a388d0068032800f27042c6798b3917aa169fa",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-15T19:37:57Z",
    "title_canon_sha256": "09dee7cd2ce6fd6899c05a19be5e0be5ec1a2396f656f7b84985a4281645ec60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3413",
    "kind": "arxiv",
    "version": 1
  }
}