Pith Number

pith:G4WQRM4H

pith:2016:G4WQRM4HYFMDQ74LIX23CHKKPS

not attested not anchored not stored refs pending

A classification theorem for normal extensions

Mathieu Duckerts-Antoine, Tomas Everaert

arxiv:1604.02604 v1 · 2016-04-09 · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G4WQRM4HYFMDQ74LIX23CHKKPS}

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	2026-05-18T01:17:22.612868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

372d08b387c158387f8b45f5b11d4a7c9393bd42415d9296841e19e7ab1dcc0d

Aliases

arxiv: 1604.02604 · arxiv_version: 1604.02604v1 · doi: 10.48550/arxiv.1604.02604 · pith_short_12: G4WQRM4HYFMD · pith_short_16: G4WQRM4HYFMDQ74L · pith_short_8: G4WQRM4H

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/G4WQRM4HYFMDQ74LIX23CHKKPS \
  | 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: 372d08b387c158387f8b45f5b11d4a7c9393bd42415d9296841e19e7ab1dcc0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a64e41c5958cd00450bf7a229edd2354089deb90b3bdde7f0f772e39ce83f092",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-04-09T19:59:22Z",
    "title_canon_sha256": "8392ff0cf04059c349c98127f0e248d1cf2a2be3bf9f35d22750164c343e0a46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02604",
    "kind": "arxiv",
    "version": 1
  }
}