Pith Number

pith:ABCFJF3K

pith:2010:ABCFJF3KQAFGK233CURH4NV4NL

not attested not anchored not stored refs pending

A Consistency Proof for Some Restrictions of Tait's Reflection Principles

Rupert McCallum

arxiv:1009.4242 v13 · 2010-09-22 · 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{ABCFJF3KQAFGK233CURH4NV4NL}

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	2026-05-18T03:37:09.349003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

004454976a800a656b7b15227e36bc6ad4e759c427a5697cafb4015dfe2ae625

Aliases

arxiv: 1009.4242 · arxiv_version: 1009.4242v13 · doi: 10.48550/arxiv.1009.4242 · pith_short_12: ABCFJF3KQAFG · pith_short_16: ABCFJF3KQAFGK233 · pith_short_8: ABCFJF3K

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/ABCFJF3KQAFGK233CURH4NV4NL \
  | 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: 004454976a800a656b7b15227e36bc6ad4e759c427a5697cafb4015dfe2ae625

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46a55afd34e6f1f3396f4c90a6acc5e081723289e98c146bd80c84464ef2d1e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-09-22T01:09:24Z",
    "title_canon_sha256": "c50c894b398c726e97f98e2a1104e6fd37f970d8de4ae0de643230df1839ec8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4242",
    "kind": "arxiv",
    "version": 13
  }
}