Pith Number

pith:URKV7XK4

pith:2025:URKV7XK4XOOQBZEFZETPR5JCM3

not attested not anchored not stored refs pending

Geometric Duality Between Constraints and Gauge Fields: Mirror Symmetry and Spencer Isomorphisms of Compatible Pairs on Principal Bundles

Dongzhe Zheng

arxiv:2506.00728 v2 · 2025-05-31 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{URKV7XK4XOOQBZEFZETPR5JCM3}

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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.

Cited by

1 paper in Pith

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds

Receipt and verification

First computed	2026-07-05T11:52:02.464040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4555fdd5cbb9d00e485c926f8f52266d46393942f9601c58d923647f7404b1a

Aliases

arxiv: 2506.00728 · arxiv_version: 2506.00728v2 · doi: 10.48550/arxiv.2506.00728 · pith_short_12: URKV7XK4XOOQ · pith_short_16: URKV7XK4XOOQBZEF · pith_short_8: URKV7XK4

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/URKV7XK4XOOQBZEFZETPR5JCM3 \
  | 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: a4555fdd5cbb9d00e485c926f8f52266d46393942f9601c58d923647f7404b1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9290b01c9fedafb00ad1f23e0cf354e3ef050591b89ea2e0b8aa557165ef2539",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-05-31T22:04:53Z",
    "title_canon_sha256": "069a9e12b7027f423ae6a17017abc5b88b1bff67008460f0d2c06a354cda9f40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.00728",
    "kind": "arxiv",
    "version": 2
  }
}