Pith Number

pith:E4Z5RPN4

pith:2025:E4Z5RPN4YYTEHFUTVQ2Z47433F

not attested not anchored not stored refs pending

On differential operators for scalar-scaffolded gluons

Dongyu Yang, Jin Dong, Yong-Xiang Su

arxiv:2512.15882 v2 · 2025-12-17 · 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{E4Z5RPN4YYTEHFUTVQ2Z47433F}

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	2026-07-21T01:19:51.458196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2733d8bdbcc626439693ac359e7f9bd943aef7016821e88f7fc7f8e6e7e30f84

Aliases

arxiv: 2512.15882 · arxiv_version: 2512.15882v2 · doi: 10.48550/arxiv.2512.15882 · pith_short_12: E4Z5RPN4YYTE · pith_short_16: E4Z5RPN4YYTEHFUT · pith_short_8: E4Z5RPN4

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/E4Z5RPN4YYTEHFUTVQ2Z47433F \
  | 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: 2733d8bdbcc626439693ac359e7f9bd943aef7016821e88f7fc7f8e6e7e30f84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "565802f4c69c6f7fbac84658f7b1aa9c7f6d34203194bc9575fed37c8963a037",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-12-17T19:00:38Z",
    "title_canon_sha256": "696a2eb10e218fa8c849b894b1b2ba7b018bb0c9110a68b69516a3d9d0f50f8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.15882",
    "kind": "arxiv",
    "version": 2
  }
}