Pith Number

pith:42HRGNTN

pith:2015:42HRGNTNNMHGSXSXOTEPOQGV6O

not attested not anchored not stored refs pending

Bottom Up Quotients and Residuals for Tree Languages

Djelloul Ziadi, Jean-Marc Champarnaud, Ludovic Mignot, Nadia Ouali-Sebti

arxiv:1506.02863 v1 · 2015-06-09 · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42HRGNTNNMHGSXSXOTEPOQGV6O}

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	2026-05-18T01:55:40.692794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e68f13366d6b0e695e5774c8f740d5f3bdab999e592709ad786af7c23139211b

Aliases

arxiv: 1506.02863 · arxiv_version: 1506.02863v1 · doi: 10.48550/arxiv.1506.02863 · pith_short_12: 42HRGNTNNMHG · pith_short_16: 42HRGNTNNMHGSXSX · pith_short_8: 42HRGNTN

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/42HRGNTNNMHGSXSXOTEPOQGV6O \
  | 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: e68f13366d6b0e695e5774c8f740d5f3bdab999e592709ad786af7c23139211b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d70d7cc6421fb12ed40210815d06186d873ae3965ae56c2a540bd62967dd56e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2015-06-09T11:17:07Z",
    "title_canon_sha256": "61a6e69e04b82554a361ff454c80ff956224be435081af745fc3d624343357dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02863",
    "kind": "arxiv",
    "version": 1
  }
}