Pith Number

pith:CXUGOECU

pith:2012:CXUGOECUOBMVYKYCVOV5T32A6Z

not attested not anchored not stored refs pending

The small Deborah number limit of the Doi-Onsager equation to the Ericksen-Leslie equation

Pingwen Zhang, Wei Wang, Zhifei Zhang

arxiv:1206.5480 v1 · 2012-06-24 · 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{CXUGOECUOBMVYKYCVOV5T32A6Z}

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	2026-05-18T03:52:39.974861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15e867105470595c2b02ababd9ef40f67ea10c6c59509e1f3ff002e6137e83ce

Aliases

arxiv: 1206.5480 · arxiv_version: 1206.5480v1 · doi: 10.48550/arxiv.1206.5480 · pith_short_12: CXUGOECUOBMV · pith_short_16: CXUGOECUOBMVYKYC · pith_short_8: CXUGOECU

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/CXUGOECUOBMVYKYCVOV5T32A6Z \
  | 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: 15e867105470595c2b02ababd9ef40f67ea10c6c59509e1f3ff002e6137e83ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "398fea7e47df53c5b5c580831cf45e8f6b0ff75611f407f72dd7de9d14cda146",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-06-24T10:43:00Z",
    "title_canon_sha256": "fa995d645b20fe6b395bce6d76a155485576b873ddfaaf89ff9f99f63bdbc180"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5480",
    "kind": "arxiv",
    "version": 1
  }
}