Pith Number

pith:WE5V6ZYC

pith:2016:WE5V6ZYCYHIVAF7JWGCJMFEJDA

not attested not anchored not stored refs pending

Minimal area surfaces dual to Wilson loops and the Mathieu equation

Changyu Huang, Martin Kruczenski, Yifei He

arxiv:1604.00078 v2 · 2016-03-31 · 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{WE5V6ZYCYHIVAF7JWGCJMFEJDA}

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	2026-05-18T01:04:13.454520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b13b5f6702c1d15017e9b1849614891826969d4e42c66d5898d6b00ae66270d6

Aliases

arxiv: 1604.00078 · arxiv_version: 1604.00078v2 · doi: 10.48550/arxiv.1604.00078 · pith_short_12: WE5V6ZYCYHIV · pith_short_16: WE5V6ZYCYHIVAF7J · pith_short_8: WE5V6ZYC

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/WE5V6ZYCYHIVAF7JWGCJMFEJDA \
  | 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: b13b5f6702c1d15017e9b1849614891826969d4e42c66d5898d6b00ae66270d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3faab63197635b148c380548fd9125607f2784a37b60ea520ee1aa42bbaab774",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-03-31T23:31:39Z",
    "title_canon_sha256": "8c0cf1d3210da50b09808b9f3fa524a54f7edd0b1a4ab27a8c9ea5d57c599f4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00078",
    "kind": "arxiv",
    "version": 2
  }
}