Pith Number

pith:MPCXHRRY

pith:2007:MPCXHRRYWHMHMAEAZAFGAN4Z6U

not attested not anchored not stored refs pending

An explicit formula for the Skorokhod map on $[0,a]$

John Lehoczky, Kavita Ramanan, Lukasz Kruk, Steven Shreve

arxiv:0710.2977 v1 · 2007-10-16 · 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{MPCXHRRYWHMHMAEAZAFGAN4Z6U}

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	2026-05-18T04:09:14.096884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63c573c638b1d8760080c80a603799f5246b066da6f3e15202b09945aed86568

Aliases

arxiv: 0710.2977 · arxiv_version: 0710.2977v1 · doi: 10.48550/arxiv.0710.2977 · pith_short_12: MPCXHRRYWHMH · pith_short_16: MPCXHRRYWHMHMAEA · pith_short_8: MPCXHRRY

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/MPCXHRRYWHMHMAEAZAFGAN4Z6U \
  | 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: 63c573c638b1d8760080c80a603799f5246b066da6f3e15202b09945aed86568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7b864672bdcdd391313fb20ed714996167b7fe908a00c589ad15445d288883a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-10-16T08:22:52Z",
    "title_canon_sha256": "d3024bf54ad1fe6326f617c5c904728d2d8ea937dff212f13bd0b36c5879a586"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.2977",
    "kind": "arxiv",
    "version": 1
  }
}