Pith Number

pith:GQRHYYLR

pith:2025:GQRHYYLRUG3Y2CAXPADBJTLQDC

not attested not anchored not stored refs pending

On the shape of pancakes: catastrophe theory and Gaussian statistics in 2D

Abineet Parichha, Atsushi Taruya, Shohei Saga, Stephane Colombi

arxiv:2509.25608 v1 · 2025-09-30 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQRHYYLRUG3Y2CAXPADBJTLQDC}

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	2026-06-10T14:10:44.112202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34227c6171a1b78d0817780614cd7018ab3c3fbc1e57ddab5faedc42d96716db

Aliases

arxiv: 2509.25608 · arxiv_version: 2509.25608v1 · doi: 10.48550/arxiv.2509.25608 · pith_short_12: GQRHYYLRUG3Y · pith_short_16: GQRHYYLRUG3Y2CAX · pith_short_8: GQRHYYLR

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/GQRHYYLRUG3Y2CAXPADBJTLQDC \
  | 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: 34227c6171a1b78d0817780614cd7018ab3c3fbc1e57ddab5faedc42d96716db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f069cd8767749b54d360100ab3dcf2085e215cd840075d2806a7b97195e4f574",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-09-30T00:05:06Z",
    "title_canon_sha256": "75f34656fbacd38e449672d8a0761bb020e44eb82b42f079dcebae16bf93251f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.25608",
    "kind": "arxiv",
    "version": 1
  }
}