Pith Number

pith:ZDMRJUS2

pith:2012:ZDMRJUS2US3JQJB5FVPYNAXDY2

not attested not anchored not stored refs pending

Generations of correlation averages

Giovanni Coppola, Maurizio Laporta

arxiv:1205.1706 v3 · 2012-05-06 · 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{ZDMRJUS2US3JQJB5FVPYNAXDY2}

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	2026-05-18T02:49:31.884980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8d914d25aa4b698243d2d5f8682e3c6a53dcb38ea516d62f002d656bad75c84

Aliases

arxiv: 1205.1706 · arxiv_version: 1205.1706v3 · doi: 10.48550/arxiv.1205.1706 · pith_short_12: ZDMRJUS2US3J · pith_short_16: ZDMRJUS2US3JQJB5 · pith_short_8: ZDMRJUS2

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/ZDMRJUS2US3JQJB5FVPYNAXDY2 \
  | 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: c8d914d25aa4b698243d2d5f8682e3c6a53dcb38ea516d62f002d656bad75c84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57a25ef24d70ef4e8b7b5103ad94ea402f3291342be9579a26f2a675dff10094",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-06T08:53:57Z",
    "title_canon_sha256": "2181b6d48c8b60f89144d42c287fe480f2fe33b48dc725dbbe9a505b6a9d7c3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1706",
    "kind": "arxiv",
    "version": 3
  }
}