Pith Number

pith:D4BEGCGK

pith:1996:D4BEGCGK25DCJKKAIIYS3MO2JE

not attested not anchored not stored refs pending

Quantum shadow enumerators

E. M. Rains (AT&T Research)

arxiv:quant-ph/9611001 v2 · 1996-11-01 · 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{D4BEGCGK25DCJKKAIIYS3MO2JE}

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	2026-07-04T15:08:20.404641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f024308cad74624a94042312db1da4936119128aa5859e44d457cda714e4025

Aliases

arxiv: quant-ph/9611001 · arxiv_version: quant-ph/9611001v2 · doi: 10.48550/arxiv.quant-ph/9611001 · pith_short_12: D4BEGCGK25DC · pith_short_16: D4BEGCGK25DCJKKA · pith_short_8: D4BEGCGK

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/D4BEGCGK25DCJKKAIIYS3MO2JE \
  | 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: 1f024308cad74624a94042312db1da4936119128aa5859e44d457cda714e4025

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9509e6c96bdc8b779b555c4288c6cd86157aa06d3cde926a5f1577fd6b11b25",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1996-11-01T16:30:00Z",
    "title_canon_sha256": "2120195fd6780928ccb3782fa2d7d0503ea3821a8a27cc6d9022ab57b95b5b8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9611001",
    "kind": "arxiv",
    "version": 2
  }
}