Pith Number

pith:E5ZKN7EL

pith:2026:E5ZKN7ELIWXAKRPVZ7YP4K7GHK

not attested not anchored not stored refs pending

Lecture notes: Introduction to the Off-shell Double Copy Program

Eric Lescano

arxiv:2606.05978 v1 · 2026-06-04 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5ZKN7ELIWXAKRPVZ7YP4K7GHK}

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	2026-06-05T01:15:29.276265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2772a6fc8b45ae0545f5cff0fe2be63a87fa6a5efe09a7b73413eb1e99126fb3

Aliases

arxiv: 2606.05978 · arxiv_version: 2606.05978v1 · doi: 10.48550/arxiv.2606.05978 · pith_short_12: E5ZKN7ELIWXA · pith_short_16: E5ZKN7ELIWXAKRPV · pith_short_8: E5ZKN7EL

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/E5ZKN7ELIWXAKRPVZ7YP4K7GHK \
  | 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: 2772a6fc8b45ae0545f5cff0fe2be63a87fa6a5efe09a7b73413eb1e99126fb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bb145672cfbd4f34f425f3855978e1eb4a7844f0b86ccb3de635cbbd3b0e889",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-04T10:19:23Z",
    "title_canon_sha256": "03e00f83c50f40497dbd0e6b78cc4655ca0ba4aba77fcdf620abae8ee984e0c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05978",
    "kind": "arxiv",
    "version": 1
  }
}