Pith Number

pith:GAGG73HX

pith:2013:GAGG73HXV6DP4WF55DIBY26WXW

not attested not anchored not stored refs pending

Collapsible Pushdown Graphs of Level 2 are Tree-Automatic

Alexander Kartzow

arxiv:1303.2453 v2 · 2013-03-11 · cs.LO · cs.FL · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GAGG73HXV6DP4WF55DIBY26WXW}

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	2026-05-18T01:37:38.250875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

300c6fecf7af86fe58bde8d01c6bd6bda046ebcdc6566eff13613adbf72347c3

Aliases

arxiv: 1303.2453 · arxiv_version: 1303.2453v2 · doi: 10.48550/arxiv.1303.2453 · pith_short_12: GAGG73HXV6DP · pith_short_16: GAGG73HXV6DP4WF5 · pith_short_8: GAGG73HX

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/GAGG73HXV6DP4WF55DIBY26WXW \
  | 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: 300c6fecf7af86fe58bde8d01c6bd6bda046ebcdc6566eff13613adbf72347c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdb46c9ce4bdb23a2cf502ae385593c7cd55c8f34130ed7bccde21048a68d485",
    "cross_cats_sorted": [
      "cs.FL",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2013-03-11T08:42:15Z",
    "title_canon_sha256": "4207de2fe98562e2a3b4abd90d2dce3d8d28583ca06015037ea50a5c830d04af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2453",
    "kind": "arxiv",
    "version": 2
  }
}