Pith Number

pith:QHCCF5XZ

pith:2016:QHCCF5XZ3Z5XGJ72LXTCC5GERP

not attested not anchored not stored refs pending

Higher-Order Recursion Abstraction: How to Make Ackermann, Knuth and Conway Look Like a Bunch of Primitives, Figuratively Speaking

Baltasar Tranc\'on y Widemann

arxiv:1602.05010 v1 · 2016-02-16 · cs.LO · cs.PL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QHCCF5XZ3Z5XGJ72LXTCC5GERP}

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	2026-05-18T01:20:37.695684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81c422f6f9de7b7327fa5de62174c48bf2649550447a45512480cc8234c6ccc4

Aliases

arxiv: 1602.05010 · arxiv_version: 1602.05010v1 · doi: 10.48550/arxiv.1602.05010 · pith_short_12: QHCCF5XZ3Z5X · pith_short_16: QHCCF5XZ3Z5XGJ72 · pith_short_8: QHCCF5XZ

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/QHCCF5XZ3Z5XGJ72LXTCC5GERP \
  | 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: 81c422f6f9de7b7327fa5de62174c48bf2649550447a45512480cc8234c6ccc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee3cfda607953e995c0f0a45727429e52fe18d8432363d8ea74d9534de3e35f3",
    "cross_cats_sorted": [
      "cs.PL"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-02-16T13:25:15Z",
    "title_canon_sha256": "829a2ec4ddf62dcf9e2be0e19ba3341330dc885160ac297d94d20c28cc95fc8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05010",
    "kind": "arxiv",
    "version": 1
  }
}