Pith Number

pith:2276UPHL

pith:2003:2276UPHLPR7HLPD5ETMF5BXIW7

not attested not anchored not stored refs pending

Long time Evolution of Quantum Averages Near Stationary Points

Gennady Berman, Misha Vishik

arxiv:quant-ph/0310040 v1 · 2003-10-06 · 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{2276UPHLPR7HLPD5ETMF5BXIW7}

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	2026-05-18T01:37:59.068925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6bfea3ceb7c7e75bc7d24d85e86e8b7d9111f1213d81eb4c39e5d3e03088344

Aliases

arxiv: quant-ph/0310040 · arxiv_version: quant-ph/0310040v1 · doi: 10.48550/arxiv.quant-ph/0310040 · pith_short_12: 2276UPHLPR7H · pith_short_16: 2276UPHLPR7HLPD5 · pith_short_8: 2276UPHL

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/2276UPHLPR7HLPD5ETMF5BXIW7 \
  | 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: d6bfea3ceb7c7e75bc7d24d85e86e8b7d9111f1213d81eb4c39e5d3e03088344

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87d11df3d18014853a7f2dd7093969ea74f242fc4edc19f7b305ecf976da0f75",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-10-06T15:51:59Z",
    "title_canon_sha256": "f984dbd4e5f714faab29936ff8450e81af8db5adb7147a3e44e3122eb6e08dc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0310040",
    "kind": "arxiv",
    "version": 1
  }
}