Pith Number

pith:N32AWPHX

pith:2015:N32AWPHXCI7B33QFKGPAPCWJTA

not attested not anchored not stored refs pending

Stability and Markov Property of Forward Backward Minimal Supersolutions

Christoph Mainberger, Samuel Drapeau

arxiv:1503.00240 v3 · 2015-03-01 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N32AWPHXCI7B33QFKGPAPCWJTA}

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	2026-05-18T01:12:38.134583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ef40b3cf7123e1dee05519e078ac9983e8b16122ceef3f39ac21285e902faa8

Aliases

arxiv: 1503.00240 · arxiv_version: 1503.00240v3 · doi: 10.48550/arxiv.1503.00240 · pith_short_12: N32AWPHXCI7B · pith_short_16: N32AWPHXCI7B33QF · pith_short_8: N32AWPHX

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/N32AWPHXCI7B33QFKGPAPCWJTA \
  | 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: 6ef40b3cf7123e1dee05519e078ac9983e8b16122ceef3f39ac21285e902faa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13cbcd7ec16b110ae18c81eb93cfbc82d5e08dcc4ab1f21ca4fd503d656b3d2d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-01T08:55:48Z",
    "title_canon_sha256": "3bc8e2312a772dde01cd0b78d4d8a0d2fd96d73aa6cd9bf224e5f3dab6b7da29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00240",
    "kind": "arxiv",
    "version": 3
  }
}