Pith Number

pith:4IMHUJGM

pith:2006:4IMHUJGMHFEIAM5A2CJXESKR7U

not attested not anchored not stored refs pending

Singular limits in phase dynamics with physical viscosity and capillarity

K.T. Joseph, Philippe G. LeFloch

arxiv:math/0701007 v1 · 2006-12-30 · math.AP · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4IMHUJGMHFEIAM5A2CJXESKR7U}

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	2026-06-03T22:06:21.654443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2187a24cc39488033a0d093724951fd2b4ec6615af0626e2ad9eaf82def9e79

Aliases

arxiv: math/0701007 · arxiv_version: math/0701007v1 · doi: 10.48550/arxiv.math/0701007 · pith_short_12: 4IMHUJGMHFEI · pith_short_16: 4IMHUJGMHFEIAM5A · pith_short_8: 4IMHUJGM

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/4IMHUJGMHFEIAM5A2CJXESKR7U \
  | 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: e2187a24cc39488033a0d093724951fd2b4ec6615af0626e2ad9eaf82def9e79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e449e6e764f621e2fe17563f25f6ad5940d6f601587a98ceb019286d233408e",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-12-30T07:17:50Z",
    "title_canon_sha256": "15b8edd64533af1578fc12b9d0e07da1573f182afbbd02247f320b07eb771d44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701007",
    "kind": "arxiv",
    "version": 1
  }
}