Pith Number

pith:6MGTL4RZ

pith:2012:6MGTL4RZOJRJ7G5LQJGTCTDQSW

not attested not anchored not stored refs pending

Remarks of Global Wellposedness of Liquid Crystal Flows and Heat Flows of Harmonic Maps in Two Dimensions

Dong Li, Xiaoyi Zhang, Zhen Lei

arxiv:1205.1269 v3 · 2012-05-07 · 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{6MGTL4RZOJRJ7G5LQJGTCTDQSW}

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	2026-05-18T03:44:02.403881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f30d35f23972629f9bab824d314c7095badf84030d0ae610c700632cfa0bbd4e

Aliases

arxiv: 1205.1269 · arxiv_version: 1205.1269v3 · doi: 10.48550/arxiv.1205.1269 · pith_short_12: 6MGTL4RZOJRJ · pith_short_16: 6MGTL4RZOJRJ7G5L · pith_short_8: 6MGTL4RZ

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/6MGTL4RZOJRJ7G5LQJGTCTDQSW \
  | 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: f30d35f23972629f9bab824d314c7095badf84030d0ae610c700632cfa0bbd4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10fddac162f326de33061884979c717165c10ee10c33c5106dfa3a1eb21124ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-07T02:32:20Z",
    "title_canon_sha256": "aa6cf3491ee267cc161a4a2fba71864fc2b01e7bb333ebc88aa0fac4945b92dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1269",
    "kind": "arxiv",
    "version": 3
  }
}