Pith Number

pith:TDAZ5C5Y

pith:2012:TDAZ5C5YQOPRS7YFQPSOFB2F5G

not attested not anchored not stored refs pending

Singularity and existence to a wave system of nematic liquid crystals

Geng Chen, Yuxi Zheng

arxiv:1207.5190 v1 · 2012-07-22 · 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{TDAZ5C5YQOPRS7YFQPSOFB2F5G}

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	2026-05-18T03:50:24.222065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98c19e8bb8839f197f0583e4e28745e9a952f971f87535b0f8d4baf72ad8fcd0

Aliases

arxiv: 1207.5190 · arxiv_version: 1207.5190v1 · doi: 10.48550/arxiv.1207.5190 · pith_short_12: TDAZ5C5YQOPR · pith_short_16: TDAZ5C5YQOPRS7YF · pith_short_8: TDAZ5C5Y

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/TDAZ5C5YQOPRS7YFQPSOFB2F5G \
  | 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: 98c19e8bb8839f197f0583e4e28745e9a952f971f87535b0f8d4baf72ad8fcd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3214e2a2dad887e02c96ec6c8b0060f29e30fbb0b1341b7a932d5d83971026a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-22T00:03:37Z",
    "title_canon_sha256": "2c7a338cecf12693cf74a00f6e8ee8ea34ae0c021d9d8ceb6edbfcaad5cc65c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5190",
    "kind": "arxiv",
    "version": 1
  }
}