Pith Number

pith:J52A2NWB

pith:2012:J52A2NWBS6ODQW4JTCDPOXL7EW

not attested not anchored not stored refs pending

Global existence in critical spaces for density-dependent incompressible viscoelastic fluids

Bin Han, Daoyuan Fang, Ting Zhang

arxiv:1210.5676 v1 · 2012-10-21 · 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{J52A2NWBS6ODQW4JTCDPOXL7EW}

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	2026-05-18T03:42:43.358119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f740d36c1979c385b899886f75d7f25a2b3f3b83a93cc7f58c2788d14a21d2c

Aliases

arxiv: 1210.5676 · arxiv_version: 1210.5676v1 · doi: 10.48550/arxiv.1210.5676 · pith_short_12: J52A2NWBS6OD · pith_short_16: J52A2NWBS6ODQW4J · pith_short_8: J52A2NWB

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/J52A2NWBS6ODQW4JTCDPOXL7EW \
  | 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: 4f740d36c1979c385b899886f75d7f25a2b3f3b83a93cc7f58c2788d14a21d2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d9792bfa37cea9d733832aeb974f31f5d33d3addbbe862d1f7e9c60b9974e65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-21T02:14:48Z",
    "title_canon_sha256": "29bb1f282008d99b138d4ddf1f9ff143b0e3601b20469bacec26c0de521ccbd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5676",
    "kind": "arxiv",
    "version": 1
  }
}