Pith Number

pith:NMRYKZGK

pith:2005:NMRYKZGKQ3KD3B5Z6Q2UN3SL5N

not attested not anchored not stored refs pending

Options on Hedge Funds under the High Water Mark Rule

Essec-Centre De Recherche), H\'elyette Geman (DRM, Marc Atlan (PMA), Marc Yor (PMA)

arxiv:math/0510497 v4 · 2005-10-24 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NMRYKZGKQ3KD3B5Z6Q2UN3SL5N}

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	2026-05-18T01:08:50.839592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b238564ca86d43d87b9f43546ee4beb70195f02631a717a2392a2538c1ea94e

Aliases

arxiv: math/0510497 · arxiv_version: math/0510497v4 · doi: 10.48550/arxiv.math/0510497 · pith_short_12: NMRYKZGKQ3KD · pith_short_16: NMRYKZGKQ3KD3B5Z · pith_short_8: NMRYKZGK

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/NMRYKZGKQ3KD3B5Z6Q2UN3SL5N \
  | 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: 6b238564ca86d43d87b9f43546ee4beb70195f02631a717a2392a2538c1ea94e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f6f39f03838ddf883d3d237b201f6102204b2e8cea6ba31fee968866da6e100",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-10-24T10:19:21Z",
    "title_canon_sha256": "20140c89d467b923044e2d52496bdfa03702cf2dc7ae72d187e571840a890345"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510497",
    "kind": "arxiv",
    "version": 4
  }
}