Pith Number

pith:NTY7DBY7

pith:2015:NTY7DBY7U3PMYLF7RKRLGB6QO7

not attested not anchored not stored refs pending

Approximation of stochastic processes by non-expansive flows and coming down from infinity

Vincent Bansaye (CMAP)

arxiv:1511.07396 v4 · 2015-11-23 · 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{NTY7DBY7U3PMYLF7RKRLGB6QO7}

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	2026-05-18T00:53:08.687347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cf1f1871fa6decc2cbf8aa2b307d077fa4bacf463cf8ee32ba2110f924381d0

Aliases

arxiv: 1511.07396 · arxiv_version: 1511.07396v4 · doi: 10.48550/arxiv.1511.07396 · pith_short_12: NTY7DBY7U3PM · pith_short_16: NTY7DBY7U3PMYLF7 · pith_short_8: NTY7DBY7

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/NTY7DBY7U3PMYLF7RKRLGB6QO7 \
  | 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: 6cf1f1871fa6decc2cbf8aa2b307d077fa4bacf463cf8ee32ba2110f924381d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9db19caf462dd06d749f3d096688fcabd1a3806a20883cca4ddace8870102403",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-23T20:18:56Z",
    "title_canon_sha256": "b632813a18193ea3556e91df5830b276acf693c845f1751ea7695ab212dc36f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07396",
    "kind": "arxiv",
    "version": 4
  }
}