Pith Number

pith:VD3K4FGG

pith:2026:VD3K4FGGW3PL5G2JUH7BLQBPEB

not attested not anchored not stored refs pending

The ring wants to be broken

Alexei Vazquez

arxiv:2607.01967 v1 · 2026-07-02 · physics.soc-ph · cond-mat.dis-nn · 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{VD3K4FGGW3PL5G2JUH7BLQBPEB}

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

1 paper in Pith

The Ramsey community number as a renormalization-group crossing

Receipt and verification

First computed	2026-07-03T01:17:35.630629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8f6ae14c6b6debe9b49a1fe15c02f207bbe2b8c9270b17661c6c62637f580c3

Aliases

arxiv: 2607.01967 · arxiv_version: 2607.01967v1 · doi: 10.48550/arxiv.2607.01967 · pith_short_12: VD3K4FGGW3PL · pith_short_16: VD3K4FGGW3PL5G2J · pith_short_8: VD3K4FGG

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/VD3K4FGGW3PL5G2JUH7BLQBPEB \
  | 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: a8f6ae14c6b6debe9b49a1fe15c02f207bbe2b8c9270b17661c6c62637f580c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9811a304df2f1156eed9612c2fbc6d80fcdc0806d2757af2cf4af667fb2552c",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-07-02T09:58:51Z",
    "title_canon_sha256": "f01e14480ed8263a8af3bb8c7e8210585863c79338d65b9d68dd1c504f98b184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01967",
    "kind": "arxiv",
    "version": 1
  }
}