Pith Number

pith:PXNJCHMN

pith:2019:PXNJCHMNG2IRAPYO2RZKL4IO3V

not attested not anchored not stored refs pending

Critical length: an alternative approach

Carolina Vittoria Beccari, Giulio Casciola, Marie-Laurence Mazure

arxiv:1904.09253 v1 · 2019-04-19 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PXNJCHMNG2IRAPYO2RZKL4IO3V}

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	2026-05-17T23:48:07.884487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dda911d8d3691103f0ed472a5f10edd46c0b92c784e4bfe26fde1a9235a5a77

Aliases

arxiv: 1904.09253 · arxiv_version: 1904.09253v1 · doi: 10.48550/arxiv.1904.09253 · pith_short_12: PXNJCHMNG2IR · pith_short_16: PXNJCHMNG2IRAPYO · pith_short_8: PXNJCHMN

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/PXNJCHMNG2IRAPYO2RZKL4IO3V \
  | 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: 7dda911d8d3691103f0ed472a5f10edd46c0b92c784e4bfe26fde1a9235a5a77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c7df4d883de0bf2c63eef3dabf8abe3d88018dc2fc7b5aa99a846c4960de40e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-04-19T16:24:29Z",
    "title_canon_sha256": "b2d94809bff3f680ad339cac5a2401fe0d702c34fda7a4abb34d211bffe28606"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09253",
    "kind": "arxiv",
    "version": 1
  }
}