Pith Number

pith:YWKQDSW5

pith:2018:YWKQDSW5TQKCVWCXXBS5FGSGHB

not attested not anchored not stored refs pending

Rate of cluster decomposition via Fermat-Steiner point

Alexander Avdoshkin, Anatoly Dymarsky, Lev Astrakhantsev, Michael Smolkin

arxiv:1811.03633 v2 · 2018-11-08 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YWKQDSW5TQKCVWCXXBS5FGSGHB}

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	2026-07-05T00:21:05.201719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c59501cadd9c142ad857b865d29a46385627697ef7d6795df28d8b2915675dfb

Aliases

arxiv: 1811.03633 · arxiv_version: 1811.03633v2 · doi: 10.48550/arxiv.1811.03633 · pith_short_12: YWKQDSW5TQKC · pith_short_16: YWKQDSW5TQKCVWCX · pith_short_8: YWKQDSW5

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/YWKQDSW5TQKCVWCXXBS5FGSGHB \
  | 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: c59501cadd9c142ad857b865d29a46385627697ef7d6795df28d8b2915675dfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c19ae0f7e4a0e896fcac6dbc69443b4ef7e3e39ffc2fd12ad198063a1cf6bab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-11-08T19:00:06Z",
    "title_canon_sha256": "0fc60698a1eb409b1ae2156c57c622bfdb90a002cb8c3703be6f711823c88d19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03633",
    "kind": "arxiv",
    "version": 2
  }
}