Pith Number

pith:RZDZKOX3

pith:2011:RZDZKOX3ALVJ7FGBSBSRGGG3LM

not attested not anchored not stored refs pending

A Hierarchy of Tree-Automatic Structures

Olivier Finkel (ELM), Stevo Todorcevic (ELM)

arxiv:1111.1504 v1 · 2011-11-07 · math.LO · cs.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{RZDZKOX3ALVJ7FGBSBSRGGG3LM}

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	2026-05-18T04:03:20.164398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e47953afb02ea9f94c190651318db5b08d2f82695207ff09e97ae0e378cecdf

Aliases

arxiv: 1111.1504 · arxiv_version: 1111.1504v1 · doi: 10.48550/arxiv.1111.1504 · pith_short_12: RZDZKOX3ALVJ · pith_short_16: RZDZKOX3ALVJ7FGB · pith_short_8: RZDZKOX3

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/RZDZKOX3ALVJ7FGBSBSRGGG3LM \
  | 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: 8e47953afb02ea9f94c190651318db5b08d2f82695207ff09e97ae0e378cecdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7016dbb4a72baa67e71654f06b87fa46634f9136672842a84e69babe8556b96e",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-11-07T08:53:47Z",
    "title_canon_sha256": "8bd1941e1d0dd598fc54d1cdbc7d460c2527118c2d0928671126f8226fa1f87b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1504",
    "kind": "arxiv",
    "version": 1
  }
}