Pith Number

pith:5VY2ASTP

pith:2013:5VY2ASTPVGYEJP6YGGSNP33DZD

not attested not anchored not stored refs pending

Levels of discontinuity, limit-computability, and jump operators

Matthew de Brecht

arxiv:1312.0697 v1 · 2013-12-03 · 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{5VY2ASTPVGYEJP6YGGSNP33DZD}

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	2026-05-18T03:05:36.949757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed71a04a6fa9b044bfd831a4d7ef63c8f5d47dada7bfcad0dadfa523b6e04a02

Aliases

arxiv: 1312.0697 · arxiv_version: 1312.0697v1 · doi: 10.48550/arxiv.1312.0697 · pith_short_12: 5VY2ASTPVGYE · pith_short_16: 5VY2ASTPVGYEJP6Y · pith_short_8: 5VY2ASTP

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/5VY2ASTPVGYEJP6YGGSNP33DZD \
  | 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: ed71a04a6fa9b044bfd831a4d7ef63c8f5d47dada7bfcad0dadfa523b6e04a02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "356e5dbafa6b99ae62cd79727e5b739336903b7ab0f13018cf321e3ff5488d3d",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-12-03T04:53:31Z",
    "title_canon_sha256": "d1d871b1855b541a2286cbbfd1ff842c6ca1191113e89b33622ec048d88aef7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0697",
    "kind": "arxiv",
    "version": 1
  }
}