Pith Number

pith:HYOFGQRA

pith:2026:HYOFGQRANYRFHLWLVONWCRXR7N

not attested not anchored not stored refs pending

A Self-Dual Frame Formalism of the SO(3) Yang-Mills Theory

Hanwen Liu

arxiv:2607.14204 v1 · 2026-07-15 · math.DG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HYOFGQRANYRFHLWLVONWCRXR7N}

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	2026-07-17T00:20:57.915579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e1c5342206e2253aecbab9b6146f1fb62fee94efb0ef6a1d97c68eb92aa5edf

Aliases

arxiv: 2607.14204 · arxiv_version: 2607.14204v1 · doi: 10.48550/arxiv.2607.14204 · pith_short_12: HYOFGQRANYRF · pith_short_16: HYOFGQRANYRFHLWL · pith_short_8: HYOFGQRA

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/HYOFGQRANYRFHLWLVONWCRXR7N \
  | 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: 3e1c5342206e2253aecbab9b6146f1fb62fee94efb0ef6a1d97c68eb92aa5edf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4f486384bf9452e54b051ff3692c37f05c483c14db415adbc481a789b630d64",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-15T17:57:04Z",
    "title_canon_sha256": "3e8d2e015fc12a508d5a301bda240e1c1d897cc8e913399ac62670815e54fa69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14204",
    "kind": "arxiv",
    "version": 1
  }
}