Pith Number

pith:ECSRFXDG

pith:2012:ECSRFXDGIEQ36P747T2MYCKFWF

not attested not anchored not stored refs pending

Comment on: "Analytical approximations for the collapse of an empty spherical bubble"

Francisco M. Fern\'andez, Paolo Amore

arxiv:1208.6007 v1 · 2012-08-29 · physics.flu-dyn · 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{ECSRFXDGIEQ36P747T2MYCKFWF}

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	2026-05-18T01:54:50.094078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20a512dc664121bf3ffcfcf4cc0945b1739f84c0b22ef9fe54e7dd322d613008

Aliases

arxiv: 1208.6007 · arxiv_version: 1208.6007v1 · doi: 10.48550/arxiv.1208.6007 · pith_short_12: ECSRFXDGIEQ3 · pith_short_16: ECSRFXDGIEQ36P74 · pith_short_8: ECSRFXDG

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/ECSRFXDGIEQ36P747T2MYCKFWF \
  | 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: 20a512dc664121bf3ffcfcf4cc0945b1739f84c0b22ef9fe54e7dd322d613008

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4191cceccb9d0a9ca812ad43b69470fde910e4c592d76b1b7dadc6c8acf8456",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2012-08-29T22:24:34Z",
    "title_canon_sha256": "a9aee042c1c18bae6fff4c2e8bd004797c87061d286f89a37300e34d7a5ab98e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6007",
    "kind": "arxiv",
    "version": 1
  }
}