Pith Number

pith:BTFJCUAF

pith:2013:BTFJCUAFSX2AZFZZONS25BVC4F

not attested not anchored not stored refs pending

Cyclic permutations realized by signed shifts

Kassie Archer, Sergi Elizalde

arxiv:1304.7790 v1 · 2013-04-29 · math.CO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BTFJCUAFSX2AZFZZONS25BVC4F}

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	2026-05-18T03:26:51.859552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cca91500595f40c97397365ae86a2e14cbe915646ca51a5c2fad89ff716f906

Aliases

arxiv: 1304.7790 · arxiv_version: 1304.7790v1 · doi: 10.48550/arxiv.1304.7790 · pith_short_12: BTFJCUAFSX2A · pith_short_16: BTFJCUAFSX2AZFZZ · pith_short_8: BTFJCUAF

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/BTFJCUAFSX2AZFZZONS25BVC4F \
  | 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: 0cca91500595f40c97397365ae86a2e14cbe915646ca51a5c2fad89ff716f906

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf29912a95a31984fafdf0bcf25df65ac5d19355fc4a3d7adae7cc1b718ceb35",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-29T20:08:46Z",
    "title_canon_sha256": "b7da053fa447c42ca57c5ce876ae324a19f3832d93b56ebbad5125f1a5ec4b32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7790",
    "kind": "arxiv",
    "version": 1
  }
}