Pith Number

pith:6SBRSQWA

pith:2015:6SBRSQWA7H43IFK6QTUSTPGWSX

not attested not anchored not stored refs pending

On the monotonicity principle of optimal Skorokhod embedding problem

Gaoyue Guo, Nizar Touzi, Xiaolu Tan

arxiv:1506.03413 v2 · 2015-06-08 · math.PR · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6SBRSQWA7H43IFK6QTUSTPGWSX}

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	2026-05-18T01:09:59.735218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4831942c0f9f9b4155e84e929bcd695f5de77aba4457c1a6c4295b19bc58a4b

Aliases

arxiv: 1506.03413 · arxiv_version: 1506.03413v2 · doi: 10.48550/arxiv.1506.03413 · pith_short_12: 6SBRSQWA7H43 · pith_short_16: 6SBRSQWA7H43IFK6 · pith_short_8: 6SBRSQWA

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/6SBRSQWA7H43IFK6QTUSTPGWSX \
  | 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: f4831942c0f9f9b4155e84e929bcd695f5de77aba4457c1a6c4295b19bc58a4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6efe1bd4fa83c32b3bacc112125f7b9017a28cc35cfc30561176428858414fdf",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-08T17:49:29Z",
    "title_canon_sha256": "69a197e6e615366b244971090165916d01c4fb4ef9283c68c91aa6a3f3070ae2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03413",
    "kind": "arxiv",
    "version": 2
  }
}