Pith Number

pith:3JLRU2TF

pith:2018:3JLRU2TFHQQMTWGFDXDLKRX3AT

not attested not anchored not stored refs pending

A new probabilistic interpretation of Bramble-Hilbert lemma

Franck Assous, Jo\"el Chaskalovic

arxiv:1803.09547 v3 · 2018-03-26 · 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{3JLRU2TFHQQMTWGFDXDLKRX3AT}

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	2026-05-17T23:56:34.084541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da571a6a653c20c9d8c51dc6b546fb04deadb0b52c5000d48522884df5c2e8a9

Aliases

arxiv: 1803.09547 · arxiv_version: 1803.09547v3 · doi: 10.48550/arxiv.1803.09547 · pith_short_12: 3JLRU2TFHQQM · pith_short_16: 3JLRU2TFHQQMTWGF · pith_short_8: 3JLRU2TF

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/3JLRU2TFHQQMTWGFDXDLKRX3AT \
  | 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: da571a6a653c20c9d8c51dc6b546fb04deadb0b52c5000d48522884df5c2e8a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c9589ca775db35ecf342a5bfe0db2047b7e5f1814c504ba9274491305ec1fe8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-03-26T12:35:51Z",
    "title_canon_sha256": "c192ca35d8f080c808ef710c8be36eb84245cdb6d44fa7b61bf3ff53e6323c7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09547",
    "kind": "arxiv",
    "version": 3
  }
}