Pith Number

pith:NMTFIIEJ

pith:2015:NMTFIIEJHN6CY6DSR53ZTMSHYQ

not attested not anchored not stored refs pending

Strong law of large numbers for supercritical superprocesses under second moment condition

Renming Song, Rui Zhang, Yan-Xia Ren, Zhen-Qing Chen

arxiv:1502.01426 v3 · 2015-02-05 · 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{NMTFIIEJHN6CY6DSR53ZTMSHYQ}

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	2026-05-18T02:27:43.710030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b265420893b7c2c78728f7799b247c4139ab7eca8a489984f7341e00fe85f6b

Aliases

arxiv: 1502.01426 · arxiv_version: 1502.01426v3 · doi: 10.48550/arxiv.1502.01426 · pith_short_12: NMTFIIEJHN6C · pith_short_16: NMTFIIEJHN6CY6DS · pith_short_8: NMTFIIEJ

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/NMTFIIEJHN6CY6DSR53ZTMSHYQ \
  | 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: 6b265420893b7c2c78728f7799b247c4139ab7eca8a489984f7341e00fe85f6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3fe656b19672d8cd9cee252f4f8ff9d4b68e509a600d4fe4a3fa0c4e0c034ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-05T03:42:16Z",
    "title_canon_sha256": "a3a04337382d19a685442051a92b01478e92464d9be445b425b93b64d5ee4123"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01426",
    "kind": "arxiv",
    "version": 3
  }
}