Pith Number

pith:4MUL4GRT

pith:2018:4MUL4GRT7OOARMNODPO23HHNLL

not attested not anchored not stored refs pending

Homogeneous Real (2,3,5) Distributions with Isotropy

Travis Willse

arxiv:1807.02734 v3 · 2018-07-08 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MUL4GRT7OOARMNODPO23HHNLL}

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	2026-05-17T23:54:54.117632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e328be1a33fb9c08b1ae1bddad9ced5acf61c3a72dc40b2bd5e9c2cefd84802c

Aliases

arxiv: 1807.02734 · arxiv_version: 1807.02734v3 · doi: 10.48550/arxiv.1807.02734 · pith_short_12: 4MUL4GRT7OOA · pith_short_16: 4MUL4GRT7OOARMNO · pith_short_8: 4MUL4GRT

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/4MUL4GRT7OOARMNODPO23HHNLL \
  | 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: e328be1a33fb9c08b1ae1bddad9ced5acf61c3a72dc40b2bd5e9c2cefd84802c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04af220084a298f077d310d6679d0611b151c2d660c87e0337d7b91af9dfcfea",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-07-08T01:19:13Z",
    "title_canon_sha256": "47c955191f5a7307cf06dceeb297afb7cb0ed1a9d1b1fa9f8506ddc53526369f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02734",
    "kind": "arxiv",
    "version": 3
  }
}