Pith Number

pith:4EAVIDKR

pith:2012:4EAVIDKRMJTF7EKPUMHZCSDDSH

not attested not anchored not stored refs pending

Small gaps between zeros of twisted L-functions

H. Iwaniec, J. B. Conrey, K. Soundararajan

arxiv:1202.2671 v1 · 2012-02-13 · math.NT

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

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	2026-05-18T04:02:25.932406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e101540d5162665f914fa30f91486391e9edf16424f164630f6603c8a9eda7fb

Aliases

arxiv: 1202.2671 · arxiv_version: 1202.2671v1 · doi: 10.48550/arxiv.1202.2671 · pith_short_12: 4EAVIDKRMJTF · pith_short_16: 4EAVIDKRMJTF7EKP · pith_short_8: 4EAVIDKR

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/4EAVIDKRMJTF7EKPUMHZCSDDSH \
  | 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: e101540d5162665f914fa30f91486391e9edf16424f164630f6603c8a9eda7fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed02b94db395f06f0922cdc191da480edaf24afbc650d3a65537b6157f00fb99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-13T09:22:25Z",
    "title_canon_sha256": "76ba62bb02d3b05b6a26dce17061f5e6edfd1b391f47f9aa01e6939825f96391"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2671",
    "kind": "arxiv",
    "version": 1
  }
}