Pith Number

pith:KMSWS4XG

pith:2019:KMSWS4XGZBBYJXL2XWOFAWMO3G

not attested not anchored not stored refs pending

Feedback linearly extended discrete functions

Claude Gravel, Daniel Panario

arxiv:1908.09422 v5 · 2019-08-26 · cs.CR · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KMSWS4XGZBBYJXL2XWOFAWMO3G}

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	2026-07-05T03:44:05.752295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53256972e6c84384dd7abd9c50598ed9a6d07af13b7a7dbcedc29f2163cef7d3

Aliases

arxiv: 1908.09422 · arxiv_version: 1908.09422v5 · doi: 10.48550/arxiv.1908.09422 · pith_short_12: KMSWS4XGZBBY · pith_short_16: KMSWS4XGZBBYJXL2 · pith_short_8: KMSWS4XG

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/KMSWS4XGZBBYJXL2XWOFAWMO3G \
  | 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: 53256972e6c84384dd7abd9c50598ed9a6d07af13b7a7dbcedc29f2163cef7d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78058361e758402d3c00bfbb6a817cd1d77a782ff96068ba4be38acaff625d99",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2019-08-26T01:00:37Z",
    "title_canon_sha256": "ea75e766aeb3f2b375ff3dbe0fa23d218a0ac93bd7d7e0b9af09f1958ea244df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09422",
    "kind": "arxiv",
    "version": 5
  }
}