Pith Number

pith:5OFDPJPM

pith:2010:5OFDPJPMTGIQDFJMKASOVKZEJW

not attested not anchored not stored refs pending

Speed of stability for birth--death processes

Mu-Fa chen

arxiv:1004.4407 v4 · 2010-04-26 · math.PR · math.CA · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5OFDPJPMTGIQDFJMKASOVKZEJW}

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	2026-05-18T04:41:36.645079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb8a37a5ec999101952c5024eaab244d933d1f42e1375f4f8fbbe19fa64f7244

Aliases

arxiv: 1004.4407 · arxiv_version: 1004.4407v4 · doi: 10.48550/arxiv.1004.4407 · pith_short_12: 5OFDPJPMTGIQ · pith_short_16: 5OFDPJPMTGIQDFJM · pith_short_8: 5OFDPJPM

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/5OFDPJPMTGIQDFJMKASOVKZEJW \
  | 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: eb8a37a5ec999101952c5024eaab244d933d1f42e1375f4f8fbbe19fa64f7244

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05e7022af2e39ed62ee395c7a293998c5c6b0c3c17e0e8953350482b17e7e963",
    "cross_cats_sorted": [
      "math.CA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-04-26T03:56:22Z",
    "title_canon_sha256": "a47f7529c297ca4a00c0f5e33993aefa85aaa56c814b353f3b48cf1c79bfee55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4407",
    "kind": "arxiv",
    "version": 4
  }
}