Pith Number

pith:KMRBCEXB

pith:2007:KMRBCEXBNEWDYNH3ZZA7EEDMIX

not attested not anchored not stored refs pending

The growth of additive processes

Ming Yang

arxiv:0707.3886 v1 · 2007-07-26 · 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{KMRBCEXBNEWDYNH3ZZA7EEDMIX}

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	2026-05-18T04:09:15.417995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53221112e1692c3c34fbce41f2106c45daca13b062e101c7ec3fb6a06013e28d

Aliases

arxiv: 0707.3886 · arxiv_version: 0707.3886v1 · doi: 10.48550/arxiv.0707.3886 · pith_short_12: KMRBCEXBNEWD · pith_short_16: KMRBCEXBNEWDYNH3 · pith_short_8: KMRBCEXB

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/KMRBCEXBNEWDYNH3ZZA7EEDMIX \
  | 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: 53221112e1692c3c34fbce41f2106c45daca13b062e101c7ec3fb6a06013e28d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76c965041d6edd824b7db206fcf9739421cbe0160d013191dbc8d0343eeeb760",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-07-26T09:41:54Z",
    "title_canon_sha256": "cf0e51d3e5e354c76abc5d0e27e1470f6d1818445df6c65796074bd1a0a9f32f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.3886",
    "kind": "arxiv",
    "version": 1
  }
}