Pith Number

pith:ZQPHV72C

pith:2005:ZQPHV72CHUJBDZUWHPUMOBH2B3

not attested not anchored not stored refs pending

The compact support property for measure-valued processes

Janos Englander, Ross G. Pinsky

arxiv:math/0504391 v1 · 2005-04-19 · 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{ZQPHV72CHUJBDZUWHPUMOBH2B3}

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	2026-05-18T01:38:25.045982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc1e7aff423d1211e6963be8c704fa0ee4e701ecee04600d4de005cdf7175227

Aliases

arxiv: math/0504391 · arxiv_version: math/0504391v1 · doi: 10.48550/arxiv.math/0504391 · pith_short_12: ZQPHV72CHUJB · pith_short_16: ZQPHV72CHUJBDZUW · pith_short_8: ZQPHV72C

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/ZQPHV72CHUJBDZUWHPUMOBH2B3 \
  | 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: cc1e7aff423d1211e6963be8c704fa0ee4e701ecee04600d4de005cdf7175227

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d899e536124f9d3b202a3711481dcf025cad6172d816ae2dedef80e7b051a57b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-04-19T15:55:36Z",
    "title_canon_sha256": "0d77b8d8313177457e0c76b32ccc5d8cf97f4744eb67dd2c928a5e8ec9de8e64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504391",
    "kind": "arxiv",
    "version": 1
  }
}