Pith Number

pith:2DXDF2IZ

pith:1994:2DXDF2IZ54J4TDP3TSTZUR4OOZ

not attested not anchored not stored refs pending

Adjointness Relations as a Criterion for Choosing an Inner Product

Alan D. Rendall

arxiv:gr-qc/9403001 v1 · 1994-03-01 · 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{2DXDF2IZ54J4TDP3TSTZUR4OOZ}

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	2026-07-04T15:56:53.722465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0ee32e919ef13c98dfb9ca79a478e764e12fe0d1a9efeaffce13278b66e9c06

Aliases

arxiv: gr-qc/9403001 · arxiv_version: gr-qc/9403001v1 · doi: 10.48550/arxiv.gr-qc/9403001 · pith_short_12: 2DXDF2IZ54J4 · pith_short_16: 2DXDF2IZ54J4TDP3 · pith_short_8: 2DXDF2IZ

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/2DXDF2IZ54J4TDP3TSTZUR4OOZ \
  | 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: d0ee32e919ef13c98dfb9ca79a478e764e12fe0d1a9efeaffce13278b66e9c06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1543aad9c801e634bbe09dfcebeb14aea12262f356deae009c5f82811e653c0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1994-03-01T12:23:50Z",
    "title_canon_sha256": "a9dd37699beb5f1b1f1aaa204832b31c8767c2134f44e8459a25cc1e4d1cf97a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9403001",
    "kind": "arxiv",
    "version": 1
  }
}