Pith Number

pith:AZWQN6JM

pith:2021:AZWQN6JMO2RCHF5NCBVTSPJSYS

not attested not anchored not stored refs pending

Rendering Discrete Participating Media with Geometrical Optics Approximation

Bingyang Hu, Jie Guo, Ling-Qi Yan, Yanjun Chen, Yanwen Guo, Yuanqi Li

arxiv:2102.12285 v1 · 2021-02-24 · cs.GR · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZWQN6JMO2RCHF5NCBVTSPJSYS}

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	2026-07-05T02:18:11.379196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

066d06f92c76a22397ad106b393d32c4a684b8daca31b5c4967fa8e042dfa1f0

Aliases

arxiv: 2102.12285 · arxiv_version: 2102.12285v1 · doi: 10.48550/arxiv.2102.12285 · pith_short_12: AZWQN6JMO2RC · pith_short_16: AZWQN6JMO2RCHF5N · pith_short_8: AZWQN6JM

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/AZWQN6JMO2RCHF5NCBVTSPJSYS \
  | 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: 066d06f92c76a22397ad106b393d32c4a684b8daca31b5c4967fa8e042dfa1f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c7c47735f7c64c75922b885c45b11ad6d2e824fa8248866efe3cb3e9c7ebfe0",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GR",
    "submitted_at": "2021-02-24T13:48:13Z",
    "title_canon_sha256": "7b048e57d26c55d58a77b90e4877b2866f49072d356cc9e3accbd2496be9d726"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.12285",
    "kind": "arxiv",
    "version": 1
  }
}