Pith Number

pith:J7VLMHSG

pith:2009:J7VLMHSG2MMYD6JQURADONG6BN

not attested not anchored not stored refs pending

Existence of Shadow Prices in Finite Probability Spaces

Jan Kallsen, Johannes Muhle-Karbe

arxiv:0911.4801 v2 · 2009-11-25 · q-fin.PM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7VLMHSG2MMYD6JQURADONG6BN}

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	2026-05-18T04:35:57.159962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4feab61e46d31981f930a4403734de0b5a65b2770adc56dc0e062390afa5c43d

Aliases

arxiv: 0911.4801 · arxiv_version: 0911.4801v2 · doi: 10.48550/arxiv.0911.4801 · pith_short_12: J7VLMHSG2MMY · pith_short_16: J7VLMHSG2MMYD6JQ · pith_short_8: J7VLMHSG

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/J7VLMHSG2MMYD6JQURADONG6BN \
  | 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: 4feab61e46d31981f930a4403734de0b5a65b2770adc56dc0e062390afa5c43d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a08597a6f30228a28408575a50d2ad5b18c7c6fbb59b2acec82e3a7bfd1d46d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2009-11-25T10:39:48Z",
    "title_canon_sha256": "ecc1067b0e72c738cb2a6548478c1c18f5032299f1aacc7f3a9ada5d90d9bdc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4801",
    "kind": "arxiv",
    "version": 2
  }
}