Pith Number

pith:A6KOBRBA

pith:2024:A6KOBRBAJ4GZZGXTLS3YNUTW4O

not attested not anchored not stored refs pending

Birth-death processes are time-changed Feller's Brownian motions

Liping Li

arxiv:2408.09364 v2 · 2024-08-18 · 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{A6KOBRBAJ4GZZGXTLS3YNUTW4O}

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	2026-07-05T11:43:07.120600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0794e0c4204f0d9c9af35cb786d276e38fad236d910573c7f05a3d033eabbe0b

Aliases

arxiv: 2408.09364 · arxiv_version: 2408.09364v2 · doi: 10.48550/arxiv.2408.09364 · pith_short_12: A6KOBRBAJ4GZ · pith_short_16: A6KOBRBAJ4GZZGXT · pith_short_8: A6KOBRBA

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/A6KOBRBAJ4GZZGXTLS3YNUTW4O \
  | 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: 0794e0c4204f0d9c9af35cb786d276e38fad236d910573c7f05a3d033eabbe0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85290a1c42b5bd691aaa5a7344c373b98ac3de1bbb81dcca8dad636a0af70772",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-08-18T05:35:41Z",
    "title_canon_sha256": "8d474543fa4013de63aad360edbac831319b34405948cee7bb86faebe54d9532"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.09364",
    "kind": "arxiv",
    "version": 2
  }
}