Pith Number

pith:RZKUWPDC

pith:2021:RZKUWPDC567XPWN27VQYU7ABQN

not attested not anchored not stored refs pending

Cyclic Shuffle Compatibility

Alexander Sietsema, Bruce E. Sagan, Jamie Schmidt, Jinting Liang, Quinn Minnich, Rachel Domagalski

arxiv:2106.10182 v2 · 2021-06-18 · 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{RZKUWPDC567XPWN27VQYU7ABQN}

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	2026-07-05T03:14:20.221205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e554b3c62efbf77d9bafd618a7c0183606bacf03294f4af10a0c2d23511ca18

Aliases

arxiv: 2106.10182 · arxiv_version: 2106.10182v2 · doi: 10.48550/arxiv.2106.10182 · pith_short_12: RZKUWPDC567X · pith_short_16: RZKUWPDC567XPWN2 · pith_short_8: RZKUWPDC

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/RZKUWPDC567XPWN27VQYU7ABQN \
  | 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: 8e554b3c62efbf77d9bafd618a7c0183606bacf03294f4af10a0c2d23511ca18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4c003e63e0442745344cf9372ae491f3d5e7d6c71945592df88b5f46bad64ad",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-06-18T15:18:06Z",
    "title_canon_sha256": "b80bdb7c5efbba73f0c967f672ac3073ec0742bdec2a8daa805e2a755318fae4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.10182",
    "kind": "arxiv",
    "version": 2
  }
}