Pith Number

pith:Y4NN26HN

pith:2026:Y4NN26HNG75LZCOC5AAMVBVPC4

not attested not anchored not stored refs pending

Distribution of simplices in the discrete and continuous settings

Boqing Xue, Chun-Yen Shen, Thang Pham

arxiv:2608.01274 v1 · 2026-08-02 · math.NT · math.CA · 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{Y4NN26HNG75LZCOC5AAMVBVPC4}

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	2026-08-04T02:02:47.616286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c71add78ed37fabc89c2e800ca86af1732bebc21dbfff1e7fbe99efac91ac68f

Aliases

arxiv: 2608.01274 · arxiv_version: 2608.01274v1 · doi: 10.48550/arxiv.2608.01274 · pith_short_12: Y4NN26HNG75L · pith_short_16: Y4NN26HNG75LZCOC · pith_short_8: Y4NN26HN

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/Y4NN26HNG75LZCOC5AAMVBVPC4 \
  | 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: c71add78ed37fabc89c2e800ca86af1732bebc21dbfff1e7fbe99efac91ac68f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67d3bd69d591d4ba0933ca33977625ac70552cc12fcf6f69c1ef663dfc73afbe",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-08-02T14:32:48Z",
    "title_canon_sha256": "50b7fffe696cd42cc2ba0d52e48eb9f437bad42915e270c355fa20800b7d8121"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01274",
    "kind": "arxiv",
    "version": 1
  }
}