Pith Number

pith:Z6FA3KSF

pith:2010:Z6FA3KSFEPEOQAHWLTNDKXGOQH

not attested not anchored not stored refs pending

Grobner Bases for Finite-temperature Quantum Computing and their Complexity

P.R. Crompton

arxiv:1008.4055 v1 · 2010-08-24 · 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{Z6FA3KSFEPEOQAHWLTNDKXGOQH}

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	2026-05-18T02:05:43.292183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf8a0daa4523c8e800f65cda355cce81c64ffedda2598e626bac3a742f6625b4

Aliases

arxiv: 1008.4055 · arxiv_version: 1008.4055v1 · doi: 10.48550/arxiv.1008.4055 · pith_short_12: Z6FA3KSFEPEO · pith_short_16: Z6FA3KSFEPEOQAHW · pith_short_8: Z6FA3KSF

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/Z6FA3KSFEPEOQAHWLTNDKXGOQH \
  | 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: cf8a0daa4523c8e800f65cda355cce81c64ffedda2598e626bac3a742f6625b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcf085f278cf3349b1019999f39ee47a6c168aa334fff6875b0184df2c1bf838",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-08-24T14:34:48Z",
    "title_canon_sha256": "68d41267baaf230beeb36499b118dd1db54db862742e81867cde91a24ca4ed8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4055",
    "kind": "arxiv",
    "version": 1
  }
}