Pith Number

pith:PIUSABQH

pith:2015:PIUSABQHM3QOO3XFCGNQ3JNBJU

not attested not anchored not stored refs pending

Algebraic families of Galois representations and potentially semi-stable pseudodeformation rings

Carl Wang-Erickson

arxiv:1501.05629 v4 · 2015-01-22 · 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{PIUSABQHM3QOO3XFCGNQ3JNBJU}

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	2026-05-18T00:10:04.599349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a2920060766e0e76ee5119b0da5a14d198fe8df40d21a124d7e81a3ad420696

Aliases

arxiv: 1501.05629 · arxiv_version: 1501.05629v4 · doi: 10.48550/arxiv.1501.05629 · pith_short_12: PIUSABQHM3QO · pith_short_16: PIUSABQHM3QOO3XF · pith_short_8: PIUSABQH

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/PIUSABQHM3QOO3XFCGNQ3JNBJU \
  | 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: 7a2920060766e0e76ee5119b0da5a14d198fe8df40d21a124d7e81a3ad420696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8326cd30e1548488b3d78f5c48b0c525454d7d128a7d60d6557150f40c09523e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-01-22T20:43:11Z",
    "title_canon_sha256": "157c5afe8f438f675497c083768649c5a21eab6ffd1592c8c005c64553839157"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05629",
    "kind": "arxiv",
    "version": 4
  }
}