Pith Number

pith:OZ3XOW4V

pith:2012:OZ3XOW4VYHVCZ5SFK2YFTGU7IV

not attested not anchored not stored refs pending

Directional Lower Porosity

Gareth Speight

arxiv:1209.4491 v1 · 2012-09-20 · math.FA · math.CA · 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{OZ3XOW4VYHVCZ5SFK2YFTGU7IV}

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	2026-05-18T02:44:07.124562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7677775b95c1ea2cf64556b0599a9f45742deb1d8a2ab2ea790503803c66a6d8

Aliases

arxiv: 1209.4491 · arxiv_version: 1209.4491v1 · doi: 10.48550/arxiv.1209.4491 · pith_short_12: OZ3XOW4VYHVC · pith_short_16: OZ3XOW4VYHVCZ5SF · pith_short_8: OZ3XOW4V

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/OZ3XOW4VYHVCZ5SFK2YFTGU7IV \
  | 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: 7677775b95c1ea2cf64556b0599a9f45742deb1d8a2ab2ea790503803c66a6d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e9ad631ba1371ce849a1878aea80b5d9600069d4e6ea670f9d8dd218f066675",
    "cross_cats_sorted": [
      "math.CA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-20T11:06:06Z",
    "title_canon_sha256": "72b87d9e6a16c211ebe5e5edb8927cc4b37dd826e99093514d902c3991e4bc70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4491",
    "kind": "arxiv",
    "version": 1
  }
}