Pith Number

pith:ILWT4ENB

pith:2012:ILWT4ENBC7I7IWEFCIZPCND42H

not attested not anchored not stored refs pending

On the Mathematical Formulation of Radiance

Christian Lessig, Eugene Fiume, Mathieu Desbrun

arxiv:1205.4447 v1 · 2012-05-20 · physics.gen-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILWT4ENBC7I7IWEFCIZPCND42H}

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	2026-05-18T03:55:13.190651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42ed3e11a117d1f458851232f1347cd1e0fe0e6858696bd72db1a521aaf9a32f

Aliases

arxiv: 1205.4447 · arxiv_version: 1205.4447v1 · doi: 10.48550/arxiv.1205.4447 · pith_short_12: ILWT4ENBC7I7 · pith_short_16: ILWT4ENBC7I7IWEF · pith_short_8: ILWT4ENB

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/ILWT4ENBC7I7IWEFCIZPCND42H \
  | 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: 42ed3e11a117d1f458851232f1347cd1e0fe0e6858696bd72db1a521aaf9a32f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "606662ab7310998d1ad482fe3394fa9d0a18a9049cf6f481372645d5b31e3ed3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2012-05-20T19:03:50Z",
    "title_canon_sha256": "bd8949de20465ac84c3370255434dfa83b521fe23df6b11f5c9ef2c4046b5a6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4447",
    "kind": "arxiv",
    "version": 1
  }
}