Pith Number

pith:ZWCZVO5A

pith:2021:ZWCZVO5AAYOASKDIXXTFQVBVN5

not attested not anchored not stored refs pending

Pinnacle Set Properties

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

arxiv:2105.10388 v1 · 2021-05-21 · 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{ZWCZVO5AAYOASKDIXXTFQVBVN5}

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	2026-07-05T02:42:10.893819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd859abba0061c092868bde65854356f7d1fe83313be3042199b2ae26bd57b20

Aliases

arxiv: 2105.10388 · arxiv_version: 2105.10388v1 · doi: 10.48550/arxiv.2105.10388 · pith_short_12: ZWCZVO5AAYOA · pith_short_16: ZWCZVO5AAYOASKDI · pith_short_8: ZWCZVO5A

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/ZWCZVO5AAYOASKDIXXTFQVBVN5 \
  | 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: cd859abba0061c092868bde65854356f7d1fe83313be3042199b2ae26bd57b20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44c5e0f934fbb4c7c2172b1e3122756905be8adabd9427d4660ac4b22bfc623a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-05-21T15:01:55Z",
    "title_canon_sha256": "6a215a20aec6806e82db8aa76aeb1db4cd764ae86478427f49be1121e7ffc1d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.10388",
    "kind": "arxiv",
    "version": 1
  }
}