Pith Number

pith:SP27PUVB

pith:2008:SP27PUVBCBHLVTACF5UPT7Z6Y7

not attested not anchored not stored refs pending

Quantum States and Measures on the Spectral Presheaf

A. Doering

arxiv:0809.4847 v1 · 2008-09-28 · 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{SP27PUVBCBHLVTACF5UPT7Z6Y7}

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	2026-05-18T03:05:28.779441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93f5f7d2a1104ebacc022f68f9ff3ec7cf3ef8d1a898f77e2916f21ebadab2a9

Aliases

arxiv: 0809.4847 · arxiv_version: 0809.4847v1 · doi: 10.48550/arxiv.0809.4847 · pith_short_12: SP27PUVBCBHL · pith_short_16: SP27PUVBCBHLVTAC · pith_short_8: SP27PUVB

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/SP27PUVBCBHLVTACF5UPT7Z6Y7 \
  | 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: 93f5f7d2a1104ebacc022f68f9ff3ec7cf3ef8d1a898f77e2916f21ebadab2a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22503e40f0790312adebab1e93d58a5aa95b0c7d7ed8332e6d9b550240615ff3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-09-28T13:59:04Z",
    "title_canon_sha256": "23e23e6b2a329861bdb84d71da6144de1eb9ba19f781eeef324d632e3dea06a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4847",
    "kind": "arxiv",
    "version": 1
  }
}