Pith Number

pith:TGTI7A2B

pith:2018:TGTI7A2BIPLMNNUBY7UD6KGRH4

not attested not anchored not stored refs pending

Combinatorial principles equivalent to weak induction

Arno Pauly, Caleb Davis, Denis R. Hirschfeldt, Jake Pardo, Jeffry L. Hirst, Keita Yokoyama

arxiv:1812.09943 v1 · 2018-12-24 · 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{TGTI7A2BIPLMNNUBY7UD6KGRH4}

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	2026-05-17T23:57:26.301435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99a68f834143d6c6b681c7e83f28d13f01ff76992f30e868137cecab4677f25a

Aliases

arxiv: 1812.09943 · arxiv_version: 1812.09943v1 · doi: 10.48550/arxiv.1812.09943 · pith_short_12: TGTI7A2BIPLM · pith_short_16: TGTI7A2BIPLMNNUB · pith_short_8: TGTI7A2B

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/TGTI7A2BIPLMNNUBY7UD6KGRH4 \
  | 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: 99a68f834143d6c6b681c7e83f28d13f01ff76992f30e868137cecab4677f25a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b34a7cee3c203ce351e1b169cb1ed19fa09d50f9355a122cfe0ef3210f863fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-12-24T15:51:00Z",
    "title_canon_sha256": "70b69bd26809225a46b9812a59f2141eedbaa92640987ba51be23ec6b2f87e00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09943",
    "kind": "arxiv",
    "version": 1
  }
}