Pith Number

pith:V5JRDPUD

pith:2026:V5JRDPUDIBIB6EPQTKQKCFEYAB

not attested not anchored not stored refs pending

Walk dimension and vanishing curve modulus in metric measure spaces

Aobo Chen

arxiv:2606.27869 v1 · 2026-06-26 · 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{V5JRDPUDIBIB6EPQTKQKCFEYAB}

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	2026-06-29T01:14:51.171221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af5311be8340501f11f09aa0a114980072f4a04c5d339986c1e4629afc3254e9

Aliases

arxiv: 2606.27869 · arxiv_version: 2606.27869v1 · doi: 10.48550/arxiv.2606.27869 · pith_short_12: V5JRDPUDIBIB · pith_short_16: V5JRDPUDIBIB6EPQ · pith_short_8: V5JRDPUD

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/V5JRDPUDIBIB6EPQTKQKCFEYAB \
  | 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: af5311be8340501f11f09aa0a114980072f4a04c5d339986c1e4629afc3254e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df475a208f35cd9bab6501d21ae97d4f93d78cfb769d673d0b9789659e632ccf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-06-26T09:10:15Z",
    "title_canon_sha256": "ab6842f0cf3c29497c29a8ced85216ddf3cd6833242f248827cba3a52bcab96e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27869",
    "kind": "arxiv",
    "version": 1
  }
}