Pith Number

pith:CK6D64FS

pith:2019:CK6D64FS5KYTTGO5PR2YMF27CI

not attested not anchored not stored refs pending

Crescent configurations in normed spaces

Catherine Wahlenmayer, Dylan King, Eyvindur A. Palsson, Sara Fish, Steven J. Miller

arxiv:1909.08769 v2 · 2019-09-19 · 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{CK6D64FS5KYTTGO5PR2YMF27CI}

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	2026-07-05T00:20:19.943170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12bc3f70b2eab13999dd7c7586175f1227aa8c31c12a3ab2291e902a3006996c

Aliases

arxiv: 1909.08769 · arxiv_version: 1909.08769v2 · doi: 10.48550/arxiv.1909.08769 · pith_short_12: CK6D64FS5KYT · pith_short_16: CK6D64FS5KYTTGO5 · pith_short_8: CK6D64FS

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/CK6D64FS5KYTTGO5PR2YMF27CI \
  | 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: 12bc3f70b2eab13999dd7c7586175f1227aa8c31c12a3ab2291e902a3006996c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d48a25663f9657ddf8ce6954a533f7a32ec2bfe06b878caf536ab2487097a98e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-09-19T01:44:28Z",
    "title_canon_sha256": "6ead5247df1a612107e3377d6d738ca2594dbd9afb95bd1ab29b4d2b20329492"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.08769",
    "kind": "arxiv",
    "version": 2
  }
}