Pith Number

pith:7W5W4OYL

pith:2011:7W5W4OYLIKV6H6S2WTJPWHSM23

not attested not anchored not stored refs pending

A better presentation of Planck's radiation law

Francis P. Wilkin, Jonathan M. Marr

arxiv:1109.3822 v3 · 2011-09-17 · astro-ph.SR · physics.ed-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7W5W4OYLIKV6H6S2WTJPWHSM23}

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	2026-05-18T02:00:29.692494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdbb6e3b0b42abe3fa5ab4d2fb1e4cd6e214131018a15f1e46f67cd9ed358cb5

Aliases

arxiv: 1109.3822 · arxiv_version: 1109.3822v3 · doi: 10.48550/arxiv.1109.3822 · pith_short_12: 7W5W4OYLIKV6 · pith_short_16: 7W5W4OYLIKV6H6S2 · pith_short_8: 7W5W4OYL

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/7W5W4OYLIKV6H6S2WTJPWHSM23 \
  | 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: fdbb6e3b0b42abe3fa5ab4d2fb1e4cd6e214131018a15f1e46f67cd9ed358cb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d97ccdcdd970eb5848f868eed9d3990ab7e0456595de31a32f92d32c2fe4f85",
    "cross_cats_sorted": [
      "physics.ed-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.SR",
    "submitted_at": "2011-09-17T23:41:22Z",
    "title_canon_sha256": "6a8c89cd1527e045c134b7d0eaf23f587c9164c277f249a839735a34bde4272b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3822",
    "kind": "arxiv",
    "version": 3
  }
}