Pith Number

pith:VX2UBWQZ

pith:2002:VX2UBWQZOS4CBEKD6ID2KE6ZX5

not attested not anchored not stored refs pending

Entwined Paths, Difference Equations and the Dirac Equation

G.N. Ord, R.B. Mann

arxiv:quant-ph/0208004 v2 · 2002-08-01 · quant-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{VX2UBWQZOS4CBEKD6ID2KE6ZX5}

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	2026-05-18T01:05:04.388389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adf540da1974b8209143f207a513d9bf68fc479720d78e62ff1b1944538013db

Aliases

arxiv: quant-ph/0208004 · arxiv_version: quant-ph/0208004v2 · doi: 10.48550/arxiv.quant-ph/0208004 · pith_short_12: VX2UBWQZOS4C · pith_short_16: VX2UBWQZOS4CBEKD · pith_short_8: VX2UBWQZ

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/VX2UBWQZOS4CBEKD6ID2KE6ZX5 \
  | 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: adf540da1974b8209143f207a513d9bf68fc479720d78e62ff1b1944538013db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6fc7371064d199ef5fd9c717037be1b53ac40c8d7b2fdabd669c65c2d5e9d78",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-08-01T02:13:19Z",
    "title_canon_sha256": "977cca600d99198a4a6e9574340a0ab15856acd4ccfc8cae814a8230a3931347"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0208004",
    "kind": "arxiv",
    "version": 2
  }
}