Pith Number

pith:XQBL3ZOX

pith:2011:XQBL3ZOX5GX4QHS3BRXCM3MLTS

not attested not anchored not stored refs pending

Hexagon remainder function in the limit of self-crossing up to three loops

Harald Dorn, Sebastian Wuttke

arxiv:1111.6815 v2 · 2011-11-29 · hep-th · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQBL3ZOX5GX4QHS3BRXCM3MLTS}

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	2026-05-18T01:59:21.999031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc02bde5d7e9afc81e5b0c6e266d8b9cad35fcb2fe7e5d1c20112ad17985fe89

Aliases

arxiv: 1111.6815 · arxiv_version: 1111.6815v2 · doi: 10.48550/arxiv.1111.6815 · pith_short_12: XQBL3ZOX5GX4 · pith_short_16: XQBL3ZOX5GX4QHS3 · pith_short_8: XQBL3ZOX

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/XQBL3ZOX5GX4QHS3BRXCM3MLTS \
  | 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: bc02bde5d7e9afc81e5b0c6e266d8b9cad35fcb2fe7e5d1c20112ad17985fe89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f584b7a68551b55104e25a40a43a0db9dda6012343a9ea21ffb7f7e31c1c4ee",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-11-29T14:00:44Z",
    "title_canon_sha256": "97f91b18c86c849aaa0f1faacaf172fa2c48dc65be4a917c34b68f5f0ebdcf8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6815",
    "kind": "arxiv",
    "version": 2
  }
}