Pith Number

pith:PTOYTPQE

pith:2007:PTOYTPQEWU5VK3RYDZJVBUS4IR

not attested not anchored not stored refs pending

On a general theorem for additive Levy processes

Ming Yang

arxiv:0707.1847 v1 · 2007-07-12 · 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{PTOYTPQEWU5VK3RYDZJVBUS4IR}

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	2026-07-04T15:02:50.749097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cdd89be04b53b556e381e5350d25c44543775c55e7dfe6a9972ba6697c4e934

Aliases

arxiv: 0707.1847 · arxiv_version: 0707.1847v1 · doi: 10.48550/arxiv.0707.1847 · pith_short_12: PTOYTPQEWU5V · pith_short_16: PTOYTPQEWU5VK3RY · pith_short_8: PTOYTPQE

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/PTOYTPQEWU5VK3RYDZJVBUS4IR \
  | 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: 7cdd89be04b53b556e381e5350d25c44543775c55e7dfe6a9972ba6697c4e934

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb8ba012e99d4c288f9410ee40c7b28480c232d1e965cc66b897647f5aaa572a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-07-12T18:02:39Z",
    "title_canon_sha256": "430dde1cd28841069f31232e4d741ea29fafe95849a8a16356b5a1bcfb003704"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.1847",
    "kind": "arxiv",
    "version": 1
  }
}