Pith Number

pith:DTSETUHV

pith:2026:DTSETUHVPYBLUEQBV5G4O7AV63

not attested not anchored not stored refs pending

On existence of a collapsed bubble with surface tension in viscous incompressible fluid

Yoshikazu Giga, Zhongyang Gu

arxiv:2606.31266 v1 · 2026-06-30 · 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{DTSETUHVPYBLUEQBV5G4O7AV63}

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	2026-07-01T01:17:57.536225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ce449d0f57e02ba1201af4dc77c15f6ce747295c4180207ee88fc816c489778

Aliases

arxiv: 2606.31266 · arxiv_version: 2606.31266v1 · doi: 10.48550/arxiv.2606.31266 · pith_short_12: DTSETUHVPYBL · pith_short_16: DTSETUHVPYBLUEQB · pith_short_8: DTSETUHV

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/DTSETUHVPYBLUEQBV5G4O7AV63 \
  | 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: 1ce449d0f57e02ba1201af4dc77c15f6ce747295c4180207ee88fc816c489778

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0135cc33122c5900dd1793c182edb58d8e47caecedaddfa9ddd9a5cca48cc197",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-30T07:42:06Z",
    "title_canon_sha256": "2593ab7c537992a88d3f469843cb06688ca8fb8035ed434d1fddb4784c5c9826"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31266",
    "kind": "arxiv",
    "version": 1
  }
}