Pith Number

pith:5ZMNIJV2

pith:2023:5ZMNIJV2WGZPUDP2DZH3KYL5V5

not attested not anchored not stored refs pending

Energy from Ellwood invariant for solutions involving $X^0$ variables

Tomoya Suda, Yuji Ando

arxiv:2303.13789 v2 · 2023-03-24 · 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{5ZMNIJV2WGZPUDP2DZH3KYL5V5}

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	2026-07-05T08:28:32.460246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee58d426bab1b2fa0dfa1e4fb5617daf476be7b0ada636bc6f24b17c78c8ab56

Aliases

arxiv: 2303.13789 · arxiv_version: 2303.13789v2 · doi: 10.48550/arxiv.2303.13789 · pith_short_12: 5ZMNIJV2WGZP · pith_short_16: 5ZMNIJV2WGZPUDP2 · pith_short_8: 5ZMNIJV2

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/5ZMNIJV2WGZPUDP2DZH3KYL5V5 \
  | 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: ee58d426bab1b2fa0dfa1e4fb5617daf476be7b0ada636bc6f24b17c78c8ab56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6baaca27ca8856d8bb62468f10d354388ea86ac0407fcb56a0eabefb0243a6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-03-24T03:58:06Z",
    "title_canon_sha256": "86c12417c75c00b0fed0ec204f016aa440158240527e5ec05858740aafa9c979"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.13789",
    "kind": "arxiv",
    "version": 2
  }
}