Pith Number

pith:3DSPMQZO

pith:2014:3DSPMQZOM7V7NIATFZIVKY74ZU

not attested not anchored not stored refs pending

Birth and death process with one-side bounded jumps in random environment

Hua-Ming Wang

arxiv:1407.3385 v1 · 2014-07-12 · 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{3DSPMQZOM7V7NIATFZIVKY74ZU}

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	2026-05-18T02:47:43.067844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8e4f6432e67ebf6a0132e515563fccd152dc40c1321436cb1b6509ae4b6d7b0

Aliases

arxiv: 1407.3385 · arxiv_version: 1407.3385v1 · doi: 10.48550/arxiv.1407.3385 · pith_short_12: 3DSPMQZOM7V7 · pith_short_16: 3DSPMQZOM7V7NIAT · pith_short_8: 3DSPMQZO

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/3DSPMQZOM7V7NIATFZIVKY74ZU \
  | 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: d8e4f6432e67ebf6a0132e515563fccd152dc40c1321436cb1b6509ae4b6d7b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc292e44df174f3b24f1132a30b86d3a26a0e0b17991b33a26b521b23c06da68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-07-12T13:42:41Z",
    "title_canon_sha256": "3e17c8e817dc260a8a1593564e6c304294d54760e8a96d147a4165ecea937a6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3385",
    "kind": "arxiv",
    "version": 1
  }
}