Pith Number

pith:CM64DZ7N

pith:2011:CM64DZ7NET72YMKQFIAPQDZRVQ

not attested not anchored not stored refs pending

User guide to TIM, a ray-tracing program for forbidden ray optics

Alasdair C. Hamilton, Dean Lambert, George Constable, Harsh Snehanshu, Johannes Courtial, Sharvil Talati

arxiv:1103.5028 v2 · 2011-03-25 · physics.ed-ph · cs.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CM64DZ7NET72YMKQFIAPQDZRVQ}

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	2026-05-18T03:21:43.817071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

133dc1e7ed24ffac31502a00f80f31ac23391e96db4c68a17cf974976be24880

Aliases

arxiv: 1103.5028 · arxiv_version: 1103.5028v2 · doi: 10.48550/arxiv.1103.5028 · pith_short_12: CM64DZ7NET72 · pith_short_16: CM64DZ7NET72YMKQ · pith_short_8: CM64DZ7N

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/CM64DZ7NET72YMKQFIAPQDZRVQ \
  | 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: 133dc1e7ed24ffac31502a00f80f31ac23391e96db4c68a17cf974976be24880

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f05209c758920c4fcbf68401fca70dde22148f15b69b83703895ec3075a75c4c",
    "cross_cats_sorted": [
      "cs.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.ed-ph",
    "submitted_at": "2011-03-25T16:45:22Z",
    "title_canon_sha256": "c7a41ac8c59ffdecb0bcb34feee416b4c923dab9878c9112c63a5e95dc78f08b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5028",
    "kind": "arxiv",
    "version": 2
  }
}