Pith Number

pith:PG2QAL3W

pith:2014:PG2QAL3WLUKTCRG6WACZIZZ526

not attested not anchored not stored refs pending

Refinements to patching and applications to field invariants

Daniel Krashen, David Harbater, Julia Hartmann

arxiv:1404.4349 v3 · 2014-04-16 · math.RA · 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{PG2QAL3WLUKTCRG6WACZIZZ526}

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	2026-05-18T00:16:16.328325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79b5002f765d153144deb00594673dd7999dccb61214b376475dbba8426e4579

Aliases

arxiv: 1404.4349 · arxiv_version: 1404.4349v3 · doi: 10.48550/arxiv.1404.4349 · pith_short_12: PG2QAL3WLUKT · pith_short_16: PG2QAL3WLUKTCRG6 · pith_short_8: PG2QAL3W

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/PG2QAL3WLUKTCRG6WACZIZZ526 \
  | 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: 79b5002f765d153144deb00594673dd7999dccb61214b376475dbba8426e4579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d85308f997ecabdfb23cbb37b4d74440197e019af616705e9a3b138b81f85e7b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-04-16T19:08:11Z",
    "title_canon_sha256": "429bb7943264bf678a17401d0f4a5d84377d62e26cc0037242d7b54aec8f1f9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4349",
    "kind": "arxiv",
    "version": 3
  }
}