Pith Number

pith:DE6XQ6JQ

pith:2010:DE6XQ6JQ3I2OQSQZQXIFG3SWUF

not attested not anchored not stored refs pending

Finite reduction and Morse index estimates for mechanical systems

Alessandro Sfondrini, Franco Cardin, Giuseppe De Marco

arxiv:1004.1133 v2 · 2010-04-07 · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DE6XQ6JQ3I2OQSQZQXIFG3SWUF}

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	2026-05-18T04:21:30.014495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

193d787930da34e84a1985d0536e56a1773555a0d366a298dd5ab95062a9d938

Aliases

arxiv: 1004.1133 · arxiv_version: 1004.1133v2 · doi: 10.48550/arxiv.1004.1133 · pith_short_12: DE6XQ6JQ3I2O · pith_short_16: DE6XQ6JQ3I2OQSQZ · pith_short_8: DE6XQ6JQ

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/DE6XQ6JQ3I2OQSQZQXIFG3SWUF \
  | 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: 193d787930da34e84a1985d0536e56a1773555a0d366a298dd5ab95062a9d938

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01a8871848223ac61f1d2679f5270909d2370f5500f33f0e39fa9642d7a200c1",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-04-07T16:59:24Z",
    "title_canon_sha256": "8b07ad3688f972beb2797d14f01d3dc1aaa63922830ccc0874b63ceaf188fd4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1133",
    "kind": "arxiv",
    "version": 2
  }
}