Pith Number

pith:HPK5CDNR

pith:2017:HPK5CDNRH3ZAA67YGLDUDJHY23

not attested not anchored not stored refs pending

Syzygies among reduction operators

Cyrille Chenavier (IRIF, PI.R2)

arxiv:1708.08709 v3 · 2017-08-29 · math.RA · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPK5CDNRH3ZAA67YGLDUDJHY23}

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	2026-05-18T00:19:03.756204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bd5d10db13ef2007bf832c741a4f8d6d1b5b9269080e21ab8c8b1124bac3c52

Aliases

arxiv: 1708.08709 · arxiv_version: 1708.08709v3 · doi: 10.48550/arxiv.1708.08709 · pith_short_12: HPK5CDNRH3ZA · pith_short_16: HPK5CDNRH3ZAA67Y · pith_short_8: HPK5CDNR

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/HPK5CDNRH3ZAA67YGLDUDJHY23 \
  | 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: 3bd5d10db13ef2007bf832c741a4f8d6d1b5b9269080e21ab8c8b1124bac3c52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a49bee4690a0ba84f31f1402e73364d0b59101719c5dadc2b8e2572f4e2f3046",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-08-29T11:52:48Z",
    "title_canon_sha256": "2e742e2708164d95c4e0dad371c6ed1fcfc62b84223bcb96b564cfb89ba41cd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08709",
    "kind": "arxiv",
    "version": 3
  }
}