Pith Number

pith:RY7RPZ3D

pith:2009:RY7RPZ3DNGG44EHLZXRGF6EPJX

not attested not anchored not stored refs pending

A remark on Gatheral's 'most-likely path approximation' of implied volatility

Josef Teichmann, Martin Keller-Ressel

arxiv:0911.0562 v2 · 2009-11-03 · q-fin.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{RY7RPZ3DNGG44EHLZXRGF6EPJX}

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	2026-05-18T01:02:29.112874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e3f17e763698dce10ebcde262f88f4dca3edc866d39114e883a1690116fa66b

Aliases

arxiv: 0911.0562 · arxiv_version: 0911.0562v2 · doi: 10.48550/arxiv.0911.0562 · pith_short_12: RY7RPZ3DNGG4 · pith_short_16: RY7RPZ3DNGG44EHL · pith_short_8: RY7RPZ3D

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/RY7RPZ3DNGG44EHLZXRGF6EPJX \
  | 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: 8e3f17e763698dce10ebcde262f88f4dca3edc866d39114e883a1690116fa66b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fd22e32f79a4cf1d0eb7cd136585f788c25e306714bf32320f335d7f47cdc31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2009-11-03T16:13:43Z",
    "title_canon_sha256": "7c8bd392a5683d79a1b5097804585a9233444afd87b0618aa0f4786d11a4aacf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0562",
    "kind": "arxiv",
    "version": 2
  }
}