Pith Number

pith:N3J6ERSX

pith:2010:N3J6ERSXPPULX223CCFW7B7HMA

not attested not anchored not stored refs pending

On some lower bounds of some symmetry integrals

Giovanni Coppola

arxiv:1003.4553 v2 · 2010-03-23 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N3J6ERSXPPULX223CCFW7B7HMA}

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	2026-05-18T02:52:32.782756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ed3e246577be8bbeb5b108b6f87e760139a9b9ef58b19c2ab5e727508515118

Aliases

arxiv: 1003.4553 · arxiv_version: 1003.4553v2 · doi: 10.48550/arxiv.1003.4553 · pith_short_12: N3J6ERSXPPUL · pith_short_16: N3J6ERSXPPULX223 · pith_short_8: N3J6ERSX

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/N3J6ERSXPPULX223CCFW7B7HMA \
  | 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: 6ed3e246577be8bbeb5b108b6f87e760139a9b9ef58b19c2ab5e727508515118

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0287e47a677c92b1e6390c3f483f8a78b58b7af478e427aa73737c7cf9f0717c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-03-23T23:06:23Z",
    "title_canon_sha256": "a0c958ec4727945c62bd45e4e17870a65e0aa1a0ca6ca1cdb2a546928a8ca24a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4553",
    "kind": "arxiv",
    "version": 2
  }
}