Pith Number

pith:OZ2PBCK5

pith:2024:OZ2PBCK5V2RRAEAYISWXA2KFMK

not attested not anchored not stored refs pending

An Analysis of a 2x2 Keyfitz-Kranzer Type Balance System with Varying Generalized Chaplygin Gas

Camden Toumbleston, Charis Tsikkou, Ethan Kim, Griffin Paddock, Jack Frew, Nigel Keyser, Sara Wilson

arxiv:2407.20869 v2 · 2024-07-30 · math.AP · gr-qc · 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{OZ2PBCK5V2RRAEAYISWXA2KFMK}

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	2026-07-05T11:50:58.078447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7674f0895daea310101844ad706945628f6621b2c7966f35b43b18c6e9e5f185

Aliases

arxiv: 2407.20869 · arxiv_version: 2407.20869v2 · doi: 10.48550/arxiv.2407.20869 · pith_short_12: OZ2PBCK5V2RR · pith_short_16: OZ2PBCK5V2RRAEAY · pith_short_8: OZ2PBCK5

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/OZ2PBCK5V2RRAEAYISWXA2KFMK \
  | 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: 7674f0895daea310101844ad706945628f6621b2c7966f35b43b18c6e9e5f185

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d147a04fa7d78b129bfafe910f2f1bbae2d0c67bcb809936ce8bbacab4b89c4",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-07-30T14:44:58Z",
    "title_canon_sha256": "ebc323266201bed053a94f17e90de7895bd0bf4356ce8e3449fd7c8745b9b655"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.20869",
    "kind": "arxiv",
    "version": 2
  }
}