Pith Number

pith:WA2AWC5W

pith:2010:WA2AWC5WXP3JICVU6DAB6V4ZZT

not attested not anchored not stored refs pending

Quantum Model of Bertrand Duopoly

M. K. Khan, M. Ramzan, Salman Khan

arxiv:1001.2831 v3 · 2010-01-16 · q-fin.GN · 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{WA2AWC5WXP3JICVU6DAB6V4ZZT}

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	2026-05-18T04:02:37.907193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0340b0bb6bbf6940ab4f0c01f5799ccf3a7e28fbc29e5e56ba9eb69ae28046a

Aliases

arxiv: 1001.2831 · arxiv_version: 1001.2831v3 · doi: 10.48550/arxiv.1001.2831 · pith_short_12: WA2AWC5WXP3J · pith_short_16: WA2AWC5WXP3JICVU · pith_short_8: WA2AWC5W

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/WA2AWC5WXP3JICVU6DAB6V4ZZT \
  | 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: b0340b0bb6bbf6940ab4f0c01f5799ccf3a7e28fbc29e5e56ba9eb69ae28046a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd06aa1ef2ff306d759a72cbde122ba23a20b5073fc905ec9e0771557eca9951",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "q-fin.GN",
    "submitted_at": "2010-01-16T14:42:32Z",
    "title_canon_sha256": "8ed16eb9138f58611761051b7145a1c44ca86fe2df2329aad1c75ec2255f1415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2831",
    "kind": "arxiv",
    "version": 3
  }
}