Pith Number

pith:FU7YBFX5

pith:2017:FU7YBFX52XBNY43MGKD74WH5TS

not attested not anchored not stored refs pending

Maximum star densities

Christian Reiher, Stephan Wagner

arxiv:1708.01822 v3 · 2017-08-05 · 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{FU7YBFX52XBNY43MGKD74WH5TS}

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	2026-05-18T00:14:06.715708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d3f8096fdd5c2dc736c3287fe58fd9ca23d7df774101274202e19aa8f6b7a75

Aliases

arxiv: 1708.01822 · arxiv_version: 1708.01822v3 · doi: 10.48550/arxiv.1708.01822 · pith_short_12: FU7YBFX52XBN · pith_short_16: FU7YBFX52XBNY43M · pith_short_8: FU7YBFX5

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/FU7YBFX52XBNY43MGKD74WH5TS \
  | 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: 2d3f8096fdd5c2dc736c3287fe58fd9ca23d7df774101274202e19aa8f6b7a75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f28496e9da5846f91cdfe3fae73cd85b717bdab1fabb5bd84afdde5843acac3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-05T22:10:48Z",
    "title_canon_sha256": "087a2fc9e4b9ecac184e1ae2df57199370eb7a368127227a1a0edd67c10e2d85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01822",
    "kind": "arxiv",
    "version": 3
  }
}