Pith Number

pith:4AIDAP4Z

pith:2014:4AIDAP4Z3TCRZ5R2FW7DMNUV34

not attested not anchored not stored refs pending

Bar Recursion and Products of Selection Functions

Martin Escardo, Paulo Oliva

arxiv:1407.7046 v3 · 2014-07-25 · cs.LO · 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{4AIDAP4Z3TCRZ5R2FW7DMNUV34}

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	2026-05-18T02:45:11.975877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e010303f99dcc51cf63a2dbe363695df3dbc8e89fbee2659a81d62e68ca3b1a8

Aliases

arxiv: 1407.7046 · arxiv_version: 1407.7046v3 · doi: 10.48550/arxiv.1407.7046 · pith_short_12: 4AIDAP4Z3TCR · pith_short_16: 4AIDAP4Z3TCRZ5R2 · pith_short_8: 4AIDAP4Z

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/4AIDAP4Z3TCRZ5R2FW7DMNUV34 \
  | 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: e010303f99dcc51cf63a2dbe363695df3dbc8e89fbee2659a81d62e68ca3b1a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7143a7a17d1d3f1578be14631db28233b32914b9d486a104d17eecd4b97aa057",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2014-07-25T20:20:08Z",
    "title_canon_sha256": "e02c12961ea4f745bd7ff507c9bfa244a598d7407b3e6be0ff75e52dd4612b0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7046",
    "kind": "arxiv",
    "version": 3
  }
}