Pith Number

pith:O4VTVGDC

pith:2017:O4VTVGDCJNNBTU3NFAQTLO6FYN

not attested not anchored not stored refs pending

Lean and Full Congruence Formats for Recursion

Rob van Glabbeek

arxiv:1704.03160 v1 · 2017-04-11 · 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{O4VTVGDCJNNBTU3NFAQTLO6FYN}

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	2026-05-18T00:46:33.365923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

772b3a98624b5a19d36d282135bbc5c368be1f4d958b20b4714d27d7bc9878a0

Aliases

arxiv: 1704.03160 · arxiv_version: 1704.03160v1 · doi: 10.48550/arxiv.1704.03160 · pith_short_12: O4VTVGDCJNNB · pith_short_16: O4VTVGDCJNNBTU3N · pith_short_8: O4VTVGDC

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/O4VTVGDCJNNBTU3NFAQTLO6FYN \
  | 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: 772b3a98624b5a19d36d282135bbc5c368be1f4d958b20b4714d27d7bc9878a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ab6dd2a012180da11902fdde6d7b373b8477cd84b5432ee05da5cec8773b110",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2017-04-11T06:20:05Z",
    "title_canon_sha256": "284a3759aae09f65495d755f7f8eaa53bb2a91a6c551d0840d0dbfb3d16a6862"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.03160",
    "kind": "arxiv",
    "version": 1
  }
}