Pith Number

pith:OI3DEI4G

pith:2012:OI3DEI4GDR4IGPM2VTOEH4Q76D

not attested not anchored not stored refs pending

Nonexistence of smooth solutions for the general compressible Ericksen -- Leslie equations in three dimensions

Olga Rozanova, Tudor Ratiu

arxiv:1209.2988 v1 · 2012-09-13 · math.AP · math-ph · math.MP · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OI3DEI4GDR4IGPM2VTOEH4Q76D}

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	2026-05-18T03:45:40.471030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72363223861c78833d9aacdc43f21ff0ffb2e7ff4c2083439c891f5d56498c39

Aliases

arxiv: 1209.2988 · arxiv_version: 1209.2988v1 · doi: 10.48550/arxiv.1209.2988 · pith_short_12: OI3DEI4GDR4I · pith_short_16: OI3DEI4GDR4IGPM2 · pith_short_8: OI3DEI4G

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/OI3DEI4GDR4IGPM2VTOEH4Q76D \
  | 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: 72363223861c78833d9aacdc43f21ff0ffb2e7ff4c2083439c891f5d56498c39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c71fe088b7264045ea8c313773509ef4b1fd3535f09b49ff9d12dba2efac006",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-13T18:38:41Z",
    "title_canon_sha256": "4a29b92f6b18db2cdbf8bc38f0ccf1c5b79e36eb4e37b39d2919faf53fcf389a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2988",
    "kind": "arxiv",
    "version": 1
  }
}