Pith Number

pith:5CGQ37I6

pith:2008:5CGQ37I6BU7EXKE5RV5Y5FJMLY

not attested not anchored not stored refs pending

On doubling inequalities for elliptic systems

Antonino Morassi, Edi Rosset, Giovanni Alessandrini, Sergio Vessella

arxiv:0810.0115 v1 · 2008-10-01 · 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{5CGQ37I6BU7EXKE5RV5Y5FJMLY}

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	2026-05-18T04:01:38.406670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e88d0dfd1e0d3e4ba89d8d7b8e952c5e34d788c5e89179535c0f26502e876f2d

Aliases

arxiv: 0810.0115 · arxiv_version: 0810.0115v1 · doi: 10.48550/arxiv.0810.0115 · pith_short_12: 5CGQ37I6BU7E · pith_short_16: 5CGQ37I6BU7EXKE5 · pith_short_8: 5CGQ37I6

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/5CGQ37I6BU7EXKE5RV5Y5FJMLY \
  | 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: e88d0dfd1e0d3e4ba89d8d7b8e952c5e34d788c5e89179535c0f26502e876f2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dffcc49c39adf415f123a9b71d18ecb01fa8b03eca495246f9d6bc425859ac28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-10-01T09:49:13Z",
    "title_canon_sha256": "be2bcc5d348529c5dc56f0b3e841e549458a9d93f46c43bc422c5d55df8bd8a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.0115",
    "kind": "arxiv",
    "version": 1
  }
}