Pith Number

pith:TX5TWJTC

pith:2004:TX5TWJTCGQAFUGEWASRYV2XIN4

not attested not anchored not stored refs pending

Quantum computing and polynomial equations over the finite field Z_2

Andrew P. Hines, Christopher M. Dawson, Duncan Mortimer, Henry L. Haselgrove, Michael A. Nielsen, Tobias J. Osborne

arxiv:quant-ph/0408129 v1 · 2004-08-20 · 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{TX5TWJTCGQAFUGEWASRYV2XIN4}

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.

Cited by

1 paper in Pith

Bra-ket entanglement, an indicator bridging entanglement, magic, and coherence

Receipt and verification

First computed	2026-07-04T14:48:23.722130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dfb3b266234005a189604a38aeae86f2bf2136af78a543fdef1892ad303aaee

Aliases

arxiv: quant-ph/0408129 · arxiv_version: quant-ph/0408129v1 · doi: 10.48550/arxiv.quant-ph/0408129 · pith_short_12: TX5TWJTCGQAF · pith_short_16: TX5TWJTCGQAFUGEW · pith_short_8: TX5TWJTC

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/TX5TWJTCGQAFUGEWASRYV2XIN4 \
  | 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: 9dfb3b266234005a189604a38aeae86f2bf2136af78a543fdef1892ad303aaee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b4ab7e04f297505116208c4e677908cd796bc1cb6486a887a5a9c8c0ad6ecac",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-08-20T05:27:48Z",
    "title_canon_sha256": "1c4d0304ec0bcd5d3c73cd3509dec33b34de5581bd5a472f2df04e0bfbf65fde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0408129",
    "kind": "arxiv",
    "version": 1
  }
}