Pith Number

pith:HY35DYO6

pith:2026:HY35DYO62AMFWGRTK7Q2E6H26H

not attested not anchored not stored refs pending

Planar loop integrands from cuts in $D$ dimensions

Fan Zhu, Song He, Zhenqi Han

arxiv:2606.28052 v1 · 2026-06-26 · 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{HY35DYO62AMFWGRTK7Q2E6H26H}

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	2026-06-29T01:14:56.371025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e37d1e1ded0185b1a3357e1a278faf1c408054a415f7b9f09e32825b070d631

Aliases

arxiv: 2606.28052 · arxiv_version: 2606.28052v1 · doi: 10.48550/arxiv.2606.28052 · pith_short_12: HY35DYO62AMF · pith_short_16: HY35DYO62AMFWGRT · pith_short_8: HY35DYO6

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/HY35DYO62AMFWGRTK7Q2E6H26H \
  | 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: 3e37d1e1ded0185b1a3357e1a278faf1c408054a415f7b9f09e32825b070d631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3807c5ed536e7188def89826c87091054bfcb2bde8221c5f5faaa39e8dc5d113",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-26T12:54:29Z",
    "title_canon_sha256": "7dbf3ebeadcdaf83ddf403e3383b155888aebc3e0d6b3554fc36f7375a14f137"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28052",
    "kind": "arxiv",
    "version": 1
  }
}