Pith Number

pith:5VPNVTNU

pith:2026:5VPNVTNUUZHUOQDKSHG7Z4WQQC

not attested not anchored not stored refs pending

Double copy of form factors with multiple operator insertions

Gang Yang, Guorui Zhu, Xinyue Li

arxiv:2606.12929 v1 · 2026-06-11 · 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{5VPNVTNUUZHUOQDKSHG7Z4WQQC}

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	2026-06-12T01:09:34.691634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed5edacdb4a64f47406a91cdfcf2d080ae4be118ec461eb744994bffe135fe94

Aliases

arxiv: 2606.12929 · arxiv_version: 2606.12929v1 · doi: 10.48550/arxiv.2606.12929 · pith_short_12: 5VPNVTNUUZHU · pith_short_16: 5VPNVTNUUZHUOQDK · pith_short_8: 5VPNVTNU

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/5VPNVTNUUZHUOQDKSHG7Z4WQQC \
  | 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: ed5edacdb4a64f47406a91cdfcf2d080ae4be118ec461eb744994bffe135fe94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2ed92863d18ef813a2b048187ee4d77ba371e9c6aaa0423f1cab5faa3aff0c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-11T05:47:55Z",
    "title_canon_sha256": "3d8f62c7b2f5f7c1b259f335d2c2ba608de2147ed4c1e3fadd16ab43d50f561d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12929",
    "kind": "arxiv",
    "version": 1
  }
}