Pith Number

pith:K4ICNBTQ

pith:2008:K4ICNBTQQHQ46ZQCYMV45PPDMH

not attested not anchored not stored refs pending

Superswapping

Antonio Leon

arxiv:0804.2938 v2 · 2008-04-18 · math.GM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4ICNBTQQHQ46ZQCYMV45PPDMH}

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	2026-05-18T04:03:45.612465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

571026867081e1cf6602c32bcebde361c3ecdb8549e1d74ad4d3a7da33357326

Aliases

arxiv: 0804.2938 · arxiv_version: 0804.2938v2 · doi: 10.48550/arxiv.0804.2938 · pith_short_12: K4ICNBTQQHQ4 · pith_short_16: K4ICNBTQQHQ46ZQC · pith_short_8: K4ICNBTQ

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/K4ICNBTQQHQ46ZQCYMV45PPDMH \
  | 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: 571026867081e1cf6602c32bcebde361c3ecdb8549e1d74ad4d3a7da33357326

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0976dc232ee46fca996c267336e4c5ad2171cce411fc484ca1dd7137ac783b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2008-04-18T04:45:01Z",
    "title_canon_sha256": "c872c0a209bf68cc10a4aa60154259951001e106f4c8dbd5fcc6af63ada67371"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.2938",
    "kind": "arxiv",
    "version": 2
  }
}