Pith Number

pith:FF3RBFJN

pith:2013:FF3RBFJNKVYZ5WA2VGPVAKO6B4

not attested not anchored not stored refs pending

Categoricity of the two sorted j-function

Adam Harris

arxiv:1304.4787 v1 · 2013-04-17 · 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{FF3RBFJNKVYZ5WA2VGPVAKO6B4}

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	2026-05-18T03:27:43.690366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

297710952d55719ed81aa99f5029de0f1c7e7db49d05b4f97aacdd082d3d1177

Aliases

arxiv: 1304.4787 · arxiv_version: 1304.4787v1 · doi: 10.48550/arxiv.1304.4787 · pith_short_12: FF3RBFJNKVYZ · pith_short_16: FF3RBFJNKVYZ5WA2 · pith_short_8: FF3RBFJN

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/FF3RBFJNKVYZ5WA2VGPVAKO6B4 \
  | 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: 297710952d55719ed81aa99f5029de0f1c7e7db49d05b4f97aacdd082d3d1177

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "911dff6ab0dfbdd7963c2f157c280b5f742e9700cd324172004b56c8ae58d71f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-04-17T12:19:56Z",
    "title_canon_sha256": "1170de9f35d9d7a13be9e8a8ed83ddbf57be5fc5b5e7e0a455aca6245fd86519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4787",
    "kind": "arxiv",
    "version": 1
  }
}