Pith Number

pith:7ATYZG7I

pith:2017:7ATYZG7ID4U55GW42OZUYPDSAA

not attested not anchored not stored refs pending

Hidden constructions in abstract algebra, Krull Dimension, Going Up, Going Down

Henri Lombardi, Thierry Coquand

arxiv:1712.04725 v1 · 2017-12-13 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7ATYZG7ID4U55GW42OZUYPDSAA}

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	2026-05-18T00:28:03.598661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8278c9be81f29de9adcd3b34c3c720019a59f5d93459a28f87e34251d7d6260

Aliases

arxiv: 1712.04725 · arxiv_version: 1712.04725v1 · doi: 10.48550/arxiv.1712.04725 · pith_short_12: 7ATYZG7ID4U5 · pith_short_16: 7ATYZG7ID4U55GW4 · pith_short_8: 7ATYZG7I

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/7ATYZG7ID4U55GW42OZUYPDSAA \
  | 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: f8278c9be81f29de9adcd3b34c3c720019a59f5d93459a28f87e34251d7d6260

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bc020e436bb6787da937e60e06d0d5cacf6a24ac3a8cb03001c46ede9f5a488",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-12-13T12:09:54Z",
    "title_canon_sha256": "caa3d8c59ff1d15e22914d17ce642175aedcffb983e42fdb8ec69d8e7d3f3fb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04725",
    "kind": "arxiv",
    "version": 1
  }
}