Pith Number

pith:T3E3YW5A

pith:2011:T3E3YW5AHJUYKUIQH2PK3IU27W

not attested not anchored not stored refs pending

Existence of Rosseland equation

JunZhi Cui, QiaoFu Zhang

arxiv:1111.3703 v1 · 2011-11-16 · 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{T3E3YW5AHJUYKUIQH2PK3IU27W}

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	2026-05-18T04:08:13.249877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ec9bc5ba03a698551103e9eada29afdb557856f79e495b1c442a172723d91b4

Aliases

arxiv: 1111.3703 · arxiv_version: 1111.3703v1 · doi: 10.48550/arxiv.1111.3703 · pith_short_12: T3E3YW5AHJUY · pith_short_16: T3E3YW5AHJUYKUIQ · pith_short_8: T3E3YW5A

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/T3E3YW5AHJUYKUIQH2PK3IU27W \
  | 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: 9ec9bc5ba03a698551103e9eada29afdb557856f79e495b1c442a172723d91b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12ebdc597a6ff7af3bd83862d9f4895635829c5bfde16f88b66d13c0ac8c660d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-16T01:38:19Z",
    "title_canon_sha256": "34d5b8463b21bb49aa1bb17fbbc92a00ed32ef37eaf959ad9ea84b62baf70d73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3703",
    "kind": "arxiv",
    "version": 1
  }
}