Pith Number

pith:M5EP4PFF

pith:2015:M5EP4PFFD422NWS3YXBQASLFNP

not attested not anchored not stored refs pending

An orthogonal-polynomial approach to first-hitting times of birth-death processes

Erik A. van Doorn

arxiv:1512.07308 v2 · 2015-12-22 · 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{M5EP4PFFD422NWS3YXBQASLFNP}

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	2026-05-18T00:27:04.956479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6748fe3ca51f35a6da5bc5c30049656bc4c87ede435504de284bf97ba73c027c

Aliases

arxiv: 1512.07308 · arxiv_version: 1512.07308v2 · doi: 10.48550/arxiv.1512.07308 · pith_short_12: M5EP4PFFD422 · pith_short_16: M5EP4PFFD422NWS3 · pith_short_8: M5EP4PFF

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/M5EP4PFFD422NWS3YXBQASLFNP \
  | 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: 6748fe3ca51f35a6da5bc5c30049656bc4c87ede435504de284bf97ba73c027c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbf24b812b4307a7230d8f053f51269ab65973e857c0de78d49cfd037b791fe5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-22T23:57:45Z",
    "title_canon_sha256": "1f32246a57545f863836bdc370df0de7f03aa68f2df04ef74e080d66c5fc8ef1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07308",
    "kind": "arxiv",
    "version": 2
  }
}