Pith Number

pith:WZG4IIZW

pith:2002:WZG4IIZWDXJ7FVY47KCWJWMLFZ

not attested not anchored not stored refs pending

Noncommuting Gauge Fields as a Lagrange Fluid

A.P. Polychronakos, R. Jackiw, S.-Y. Pi

arxiv:hep-th/0206014 v2 · 2002-06-03 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZG4IIZWDXJ7FVY47KCWJWMLFZ}

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	2026-05-18T01:38:49.430543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b64dc423361dd3f2d71cfa8564d98b2e673be3ba0662c6ffd6026460d8b44f34

Aliases

arxiv: hep-th/0206014 · arxiv_version: hep-th/0206014v2 · doi: 10.48550/arxiv.hep-th/0206014 · pith_short_12: WZG4IIZWDXJ7 · pith_short_16: WZG4IIZWDXJ7FVY4 · pith_short_8: WZG4IIZW

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/WZG4IIZWDXJ7FVY47KCWJWMLFZ \
  | 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: b64dc423361dd3f2d71cfa8564d98b2e673be3ba0662c6ffd6026460d8b44f34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9af7e2098485fc7ba30b025e795b1847018eafdcb90e8c9f8f23eccb62c92cf2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-06-03T03:42:36Z",
    "title_canon_sha256": "29cc51b5d4598b2e27ecbb2391addaf2c160689f0bdbdd88379e9d4001b987e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0206014",
    "kind": "arxiv",
    "version": 2
  }
}