Pith Number

pith:5EJ6ECAF

pith:2011:5EJ6ECAF527CVAMB445UEHM7W4

not attested not anchored not stored refs pending

Global solutions of a radiative and reactive gas with self-gravitation for higher-order kinetics

Xulong Qin, Zheng-an Yao

arxiv:1110.6073 v1 · 2011-10-27 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5EJ6ECAF527CVAMB445UEHM7W4}

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	2026-05-18T04:10:09.750733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e913e20805eebe2a8181e73b421d9fb73025f382395aedb5eb9bf65d550045a4

Aliases

arxiv: 1110.6073 · arxiv_version: 1110.6073v1 · doi: 10.48550/arxiv.1110.6073 · pith_short_12: 5EJ6ECAF527C · pith_short_16: 5EJ6ECAF527CVAMB · pith_short_8: 5EJ6ECAF

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/5EJ6ECAF527CVAMB445UEHM7W4 \
  | 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: e913e20805eebe2a8181e73b421d9fb73025f382395aedb5eb9bf65d550045a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d6b4c9cd9be579a07636e5a9d51e1d0b739e967d9de9712b2f71a403d742d85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-27T13:18:12Z",
    "title_canon_sha256": "c3148ec356cd20fe9298662a83de06a7179f638bc6a0213616fef0dce5b403bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6073",
    "kind": "arxiv",
    "version": 1
  }
}