Pith Number

pith:P7R7DLDE

pith:2004:P7R7DLDE5ZYEOJI6RNXWLLRWHW

not attested not anchored not stored refs pending

Vibrations of a beam between stops: convergence of a fully discretized approximation

L. Paoli, Y. Dumont

arxiv:math/0412347 v1 · 2004-12-17 · math.NA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7R7DLDE5ZYEOJI6RNXWLLRWHW}

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	2026-05-18T03:37:29.335957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fe3f1ac64ee7047251e8b6f65ae363d833be9cf3380df8532d38b7032f4c486

Aliases

arxiv: math/0412347 · arxiv_version: math/0412347v1 · doi: 10.48550/arxiv.math/0412347 · pith_short_12: P7R7DLDE5ZYE · pith_short_16: P7R7DLDE5ZYEOJI6 · pith_short_8: P7R7DLDE

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/P7R7DLDE5ZYEOJI6RNXWLLRWHW \
  | 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: 7fe3f1ac64ee7047251e8b6f65ae363d833be9cf3380df8532d38b7032f4c486

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b697992a764ce03d04beae80112b32476b243ce7438729d5c4b62cd4298528e",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2004-12-17T16:47:07Z",
    "title_canon_sha256": "6778db0ac851dc9d0445d7ebed3870352795953c4a17df946be985b1dfc1efe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412347",
    "kind": "arxiv",
    "version": 1
  }
}