Pith Number

pith:ZD77ARVV

pith:1999:ZD77ARVVCROAGQ565P4PIVTVMT

not attested not anchored not stored refs pending

Quantum equivalent of the Bertrand's theorem

N. Gurappa, Prasanta K. Panigrahi, T. Soloman Raju

arxiv:quant-ph/9905011 v1 · 1999-05-05 · 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{ZD77ARVVCROAGQ565P4PIVTVMT}

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	2026-05-18T04:17:25.651909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8fff046b5145c0343beebf8f4567564c46e7a52048a135a4a8ee83fc001d66e

Aliases

arxiv: quant-ph/9905011 · arxiv_version: quant-ph/9905011v1 · doi: 10.48550/arxiv.quant-ph/9905011 · pith_short_12: ZD77ARVVCROA · pith_short_16: ZD77ARVVCROAGQ56 · pith_short_8: ZD77ARVV

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/ZD77ARVVCROAGQ565P4PIVTVMT \
  | 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: c8fff046b5145c0343beebf8f4567564c46e7a52048a135a4a8ee83fc001d66e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "167fa5565337295e41f427702b3e6b0625ec3b18785cc79efe865a8fad63ff87",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-05-05T05:12:32Z",
    "title_canon_sha256": "c18713620eb89feb5cc5cd4ec8590c8bf38823a316a5e95337866c8b19a1d80f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9905011",
    "kind": "arxiv",
    "version": 1
  }
}