Pith Number

pith:36XD4FPF

pith:2012:36XD4FPFEIMROWO7TK7BFRVG5H

not attested not anchored not stored refs pending

On a family of exact solutions to the incompressible liquid crystals in two dimensions

Hongjie Dong, Zhen Lei

arxiv:1205.3697 v2 · 2012-05-16 · 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{36XD4FPFEIMROWO7TK7BFRVG5H}

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	2026-05-18T03:55:22.925343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfae3e15e522191759df9abe12c6a6e9e3f9e331b160e62123460ed7104b98cc

Aliases

arxiv: 1205.3697 · arxiv_version: 1205.3697v2 · doi: 10.48550/arxiv.1205.3697 · pith_short_12: 36XD4FPFEIMR · pith_short_16: 36XD4FPFEIMROWO7 · pith_short_8: 36XD4FPF

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/36XD4FPFEIMROWO7TK7BFRVG5H \
  | 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: dfae3e15e522191759df9abe12c6a6e9e3f9e331b160e62123460ed7104b98cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0de76bc564ecfc24ba9b20a006c166ad119f3d2766ce66dc832f1fc77e819931",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-16T15:00:05Z",
    "title_canon_sha256": "a83aabcd0e2cdecf2aed287a4418116cb33676d9b38da7dbe984586c7d287ae3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3697",
    "kind": "arxiv",
    "version": 2
  }
}