Pith Number

pith:UW7JBYLV

pith:2026:UW7JBYLVI5D6T6WL5SFMYSOA4G

not attested not anchored not stored refs pending

The microscopic weighting on a metric space

Emily Roff, Simon Willerton

arxiv:2607.05349 v1 · 2026-07-06 · math.MG · 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{UW7JBYLVI5D6T6WL5SFMYSOA4G}

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	2026-07-07T03:19:24.382822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5be90e1754747e9facbec8acc49c0e1bac2ceb4bc58ce41a757d459eeaca039

Aliases

arxiv: 2607.05349 · arxiv_version: 2607.05349v1 · doi: 10.48550/arxiv.2607.05349 · pith_short_12: UW7JBYLVI5D6 · pith_short_16: UW7JBYLVI5D6T6WL · pith_short_8: UW7JBYLV

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/UW7JBYLVI5D6T6WL5SFMYSOA4G \
  | 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: a5be90e1754747e9facbec8acc49c0e1bac2ceb4bc58ce41a757d459eeaca039

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "526477d7b369f2eb1006ad17685e3519800dfa96bba0c6a2859f86cea8c3665c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-07-06T17:30:39Z",
    "title_canon_sha256": "7189ec0243a94044c4381e60973c6aa0f329d6166eddc4b3bedd8b6705a6f1d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05349",
    "kind": "arxiv",
    "version": 1
  }
}