Pith Number

pith:O455AXVS

pith:2012:O455AXVSBPHVVP6GCT5NMU26EA

not attested not anchored not stored refs pending

Viscosity Solutions for a System of PDEs and Optimal Switching

Brahim El Asri, Imade Fakhouri

arxiv:1204.1683 v2 · 2012-04-07 · math.OC · 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{O455AXVSBPHVVP6GCT5NMU26EA}

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	2026-05-18T01:15:36.700229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

773bd05eb20bcf5abfc614fad6535e2015de1e566c8e65fb9cba7022febcfc59

Aliases

arxiv: 1204.1683 · arxiv_version: 1204.1683v2 · doi: 10.48550/arxiv.1204.1683 · pith_short_12: O455AXVSBPHV · pith_short_16: O455AXVSBPHVVP6G · pith_short_8: O455AXVS

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/O455AXVSBPHVVP6GCT5NMU26EA \
  | 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: 773bd05eb20bcf5abfc614fad6535e2015de1e566c8e65fb9cba7022febcfc59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d05602c266994b6eaaa39be6f051e3d76e2c00c87c22cbbfa8bc783a3ccfa54d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-04-07T21:26:34Z",
    "title_canon_sha256": "ebd6ebce7eaf6e1e8f046c162193c507861c9b9065c4e3d75089477b4fce7fad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1683",
    "kind": "arxiv",
    "version": 2
  }
}