Pith Number

pith:U4CNSARW

pith:2011:U4CNSARWYXQCZ666W75PVBOJLM

not attested not anchored not stored refs pending

On automatic infinite permutations

Anna Frid, Luca Zamboni

arxiv:1109.6131 v1 · 2011-09-28 · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4CNSARWYXQCZ666W75PVBOJLM}

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	2026-05-18T04:12:09.674277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a704d90236c5e02cfbdeb7fafa85c95b0d542ed94d7c7924a9e81d57ccd6362f

Aliases

arxiv: 1109.6131 · arxiv_version: 1109.6131v1 · doi: 10.48550/arxiv.1109.6131 · pith_short_12: U4CNSARWYXQC · pith_short_16: U4CNSARWYXQCZ666 · pith_short_8: U4CNSARW

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/U4CNSARWYXQCZ666W75PVBOJLM \
  | 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: a704d90236c5e02cfbdeb7fafa85c95b0d542ed94d7c7924a9e81d57ccd6362f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28de552a779406dffd8e37dccae2466583534b01d617629cef40ee2553bb744e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-09-28T09:05:10Z",
    "title_canon_sha256": "9eb51e61035eb121e01586bf80f996064ea861207db431d42fca215a075ebf46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6131",
    "kind": "arxiv",
    "version": 1
  }
}