Pith Number

pith:ARQRXO5R

pith:2016:ARQRXO5RM6UHIOU25WTQAWQRH7

not attested not anchored not stored refs pending

Symmetry in the Green's function for birth-death chains

Greg Markowsky, Jos\'e Luis Palacios

arxiv:1602.06001 v1 · 2016-02-18 · 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{ARQRXO5RM6UHIOU25WTQAWQRH7}

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	2026-05-18T01:20:21.866410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04611bbbb167a8743a9aeda7005a113fd1a42489c6c0b77c5a266da9aefb23ae

Aliases

arxiv: 1602.06001 · arxiv_version: 1602.06001v1 · doi: 10.48550/arxiv.1602.06001 · pith_short_12: ARQRXO5RM6UH · pith_short_16: ARQRXO5RM6UHIOU2 · pith_short_8: ARQRXO5R

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/ARQRXO5RM6UHIOU25WTQAWQRH7 \
  | 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: 04611bbbb167a8743a9aeda7005a113fd1a42489c6c0b77c5a266da9aefb23ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02c1b52b85407b410e237783e1659cb41425d4c51fc3e41920010a3ca8588289",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-18T23:29:11Z",
    "title_canon_sha256": "9ba8ecd8f11eeabca1e686786362371ce4cce391eb25cf86de2187d17b679d1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06001",
    "kind": "arxiv",
    "version": 1
  }
}