Pith Number

pith:RGTR3QWH

pith:2017:RGTR3QWHP3ZJL7L4I3XQVN6CWM

not attested not anchored not stored refs pending

Constructions cach\'ees en alg\`ebre abstraite. Dimension de Krull, Going Up, Going Down (revised version, 2008)

Henri Lombardi, Thierry Coquand

arxiv:1712.04728 v2 · 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{RGTR3QWHP3ZJL7L4I3XQVN6CWM}

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	2026-05-18T00:19:02.898897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89a71dc2c77ef295fd7c46ef0ab7c2b316d2f8b4bcd2c13b39c242bdda016819

Aliases

arxiv: 1712.04728 · arxiv_version: 1712.04728v2 · doi: 10.48550/arxiv.1712.04728 · pith_short_12: RGTR3QWHP3ZJ · pith_short_16: RGTR3QWHP3ZJL7L4 · pith_short_8: RGTR3QWH

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/RGTR3QWHP3ZJL7L4I3XQVN6CWM \
  | 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: 89a71dc2c77ef295fd7c46ef0ab7c2b316d2f8b4bcd2c13b39c242bdda016819

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4992817e0507f3a7a01f9859c905cc198c1a8958c91c3f2fb34dca7c52386c26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-12-13T12:18:07Z",
    "title_canon_sha256": "7b30091ff41407dbe6097a1812a15cca74e0b57ac4543ba97d6f327a89dc6a89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04728",
    "kind": "arxiv",
    "version": 2
  }
}