Pith Number

pith:K5U5IEST

pith:2025:K5U5IESTR5EQZBGPYMFVH53EY6

not attested not anchored not stored refs pending

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions

Zhongtian Hu

arxiv:2506.11414 v2 · 2025-06-13 · 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{K5U5IESTR5EQZBGPYMFVH53EY6}

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	2026-07-05T11:56:44.160809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5769d412538f490c84cfc30b53f764c7853f5eeeaa587dd92b2b74bd1a426d90

Aliases

arxiv: 2506.11414 · arxiv_version: 2506.11414v2 · doi: 10.48550/arxiv.2506.11414 · pith_short_12: K5U5IESTR5EQ · pith_short_16: K5U5IESTR5EQZBGP · pith_short_8: K5U5IEST

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/K5U5IESTR5EQZBGPYMFVH53EY6 \
  | 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: 5769d412538f490c84cfc30b53f764c7853f5eeeaa587dd92b2b74bd1a426d90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63b2058feb84e46401e15e1df29a6ad470c0a88773fff7c32c25e3fda6730d31",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-13T02:24:27Z",
    "title_canon_sha256": "9173fce73e685fd09988cf6e7e09efec7480c4e02acd06479ff8c29c2c25f66f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11414",
    "kind": "arxiv",
    "version": 2
  }
}