Pith Number

pith:THTHSE6X

pith:2026:THTHSE6XGXLEVAZ7BN62RBIOKA

not attested not anchored not stored refs pending

Particle-Vortex Duality of Hydrodynamics

Cenke Xu, Matthew P. A. Fisher

arxiv:2608.02732 v1 · 2026-08-03 · cond-mat.str-el · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{THTHSE6XGXLEVAZ7BN62RBIOKA}

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	2026-08-05T00:39:43.231575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99e67913d735d64a833f0b7da8850e502758deed5752f93193788f842e9033a1

Aliases

arxiv: 2608.02732 · arxiv_version: 2608.02732v1 · doi: 10.48550/arxiv.2608.02732 · pith_short_12: THTHSE6XGXLE · pith_short_16: THTHSE6XGXLEVAZ7 · pith_short_8: THTHSE6X

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/THTHSE6XGXLEVAZ7BN62RBIOKA \
  | 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: 99e67913d735d64a833f0b7da8850e502758deed5752f93193788f842e9033a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2540a1863a466cad67fce7b22708c03b573965328d65fcc4d796e19a99578c0",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-08-03T18:00:02Z",
    "title_canon_sha256": "e942111d3bdd9be1a2a2eb4708e4a2260bebe777ba22c1e122d71ebe22dab11e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02732",
    "kind": "arxiv",
    "version": 1
  }
}