Pith Number

pith:WD3QRIVZ

pith:2022:WD3QRIVZKCL77WC6TBT76FDAIY

not attested not anchored not stored refs pending

Conformal Assouad dimension as the critical exponent for combinatorial modulus

Mathav Murugan

arxiv:2209.01187 v5 · 2022-09-02 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WD3QRIVZKCL77WC6TBT76FDAIY}

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	2026-07-05T06:18:17.716769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f708a2b95097ffd85e9867ff14604625d4bb427841c316c3baa2220f3df7d7

Aliases

arxiv: 2209.01187 · arxiv_version: 2209.01187v5 · doi: 10.48550/arxiv.2209.01187 · pith_short_12: WD3QRIVZKCL7 · pith_short_16: WD3QRIVZKCL77WC6 · pith_short_8: WD3QRIVZ

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/WD3QRIVZKCL77WC6TBT76FDAIY \
  | 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: b0f708a2b95097ffd85e9867ff14604625d4bb427841c316c3baa2220f3df7d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2ef5841527be85d38f8cd12f19701c1fd1084c2d02d2078de3d42f17b0c86e7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2022-09-02T17:34:49Z",
    "title_canon_sha256": "b252a8da71faefbc95e22f127902507a8114d5b397ece40f2c14bc2d6817bf99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.01187",
    "kind": "arxiv",
    "version": 5
  }
}