Pith Number

pith:6F3USD2K

pith:2024:6F3USD2K5ESIF3LDFRRSJUPGVE

not attested not anchored not stored refs pending

Spanning trees and continued fractions

Alex Kontorovich, Igor Pak, Swee Hong Chan

arxiv:2411.18782 v2 · 2024-11-27 · math.CO · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6F3USD2K5ESIF3LDFRRSJUPGVE}

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.

Cited by

2 papers in Pith

The size of the spanning-tree spectrum of simple graphs

Independent Sets and Continued Fractions

Receipt and verification

First computed	2026-07-05T11:29:34.257984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f177490f4ae92482ed632c6324d1e6a93f3fbabb5c47fa004a2fa8f90beaf510

Aliases

arxiv: 2411.18782 · arxiv_version: 2411.18782v2 · doi: 10.48550/arxiv.2411.18782 · pith_short_12: 6F3USD2K5ESI · pith_short_16: 6F3USD2K5ESIF3LD · pith_short_8: 6F3USD2K

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/6F3USD2K5ESIF3LDFRRSJUPGVE \
  | 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: f177490f4ae92482ed632c6324d1e6a93f3fbabb5c47fa004a2fa8f90beaf510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b74efddc2c8547b5b38ec89fa75186fcbccbd26e3d40bbdebdd091d0dbeb68d0",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-27T22:11:33Z",
    "title_canon_sha256": "0478cac40dd8a4df6c138261802f54738852df99cb872494cab80a8b604d1438"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.18782",
    "kind": "arxiv",
    "version": 2
  }
}