Pith Number

pith:WMJ2WD2A

pith:2011:WMJ2WD2AU7AXIPPOCOG35J6QPK

not attested not anchored not stored refs pending

On volumes determined by subsets of Euclidean space

Alex Iosevich, Allan Greenleaf, Mihalis Mourgoglou

arxiv:1110.6790 v1 · 2011-10-31 · math.CA · math.CO · 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{WMJ2WD2AU7AXIPPOCOG35J6QPK}

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	2026-05-18T04:09:54.192749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b313ab0f40a7c1743dee138dbea7d07aadb9240f1b1f90f25a5367f1aa650f4a

Aliases

arxiv: 1110.6790 · arxiv_version: 1110.6790v1 · doi: 10.48550/arxiv.1110.6790 · pith_short_12: WMJ2WD2AU7AX · pith_short_16: WMJ2WD2AU7AXIPPO · pith_short_8: WMJ2WD2A

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/WMJ2WD2AU7AXIPPOCOG35J6QPK \
  | 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: b313ab0f40a7c1743dee138dbea7d07aadb9240f1b1f90f25a5367f1aa650f4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f646ba8dd68d8f0edaf5987b13d3db7e509778c49b1176e03bf0f82c261a2e6e",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-10-31T13:39:21Z",
    "title_canon_sha256": "caa947aa04f898d49c206cad785bc1e2c7807fd5f068ab563b40d74d0281101d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6790",
    "kind": "arxiv",
    "version": 1
  }
}