Pith Number

pith:HFB5TYGG

pith:2012:HFB5TYGGXMNUZ7FFLTCIRBHPR4

not attested not anchored not stored refs pending

On the martingale problem for degenerate-parabolic partial differential operators with unbounded coefficients and a mimicking theorem for Ito processes

Camelia Pop, Paul M. N. Feehan

arxiv:1211.4636 v3 · 2012-11-20 · math.PR · math.AP · q-fin.CP · 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{HFB5TYGGXMNUZ7FFLTCIRBHPR4}

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	2026-05-18T01:17:33.720171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3943d9e0c6bb1b4cfca55cc48884ef8f308145f848c11aae22ff81a75dc0b7d3

Aliases

arxiv: 1211.4636 · arxiv_version: 1211.4636v3 · doi: 10.48550/arxiv.1211.4636 · pith_short_12: HFB5TYGGXMNU · pith_short_16: HFB5TYGGXMNUZ7FF · pith_short_8: HFB5TYGG

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/HFB5TYGGXMNUZ7FFLTCIRBHPR4 \
  | 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: 3943d9e0c6bb1b4cfca55cc48884ef8f308145f848c11aae22ff81a75dc0b7d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4fd91cf9853c6f65839f0ee0591fa152c778a337602d72c50791f34cb55188a",
    "cross_cats_sorted": [
      "math.AP",
      "q-fin.CP",
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-20T00:30:01Z",
    "title_canon_sha256": "0868616711672e3d38b85644ab1d5b1942302a338a5343e49ce7c591fa345dbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4636",
    "kind": "arxiv",
    "version": 3
  }
}