Pith Number

pith:7RCTQHB5

pith:2017:7RCTQHB5NIH7355CBM7VNMPKEO

not attested not anchored not stored refs pending

Good cyclic codes and the uncertainty principle

Alexander Lubotzky, Emmanuel Kowalski, Shai Evra

arxiv:1703.01080 v2 · 2017-03-03 · cs.IT · math.IT · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7RCTQHB5NIH7355CBM7VNMPKEO}

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	2026-05-18T00:46:12.473835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc45381c3d6a0ffdf7a20b3f56b1ea23bad8e62f1aad925e13afc39935a05675

Aliases

arxiv: 1703.01080 · arxiv_version: 1703.01080v2 · doi: 10.48550/arxiv.1703.01080 · pith_short_12: 7RCTQHB5NIH7 · pith_short_16: 7RCTQHB5NIH7355C · pith_short_8: 7RCTQHB5

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/7RCTQHB5NIH7355CBM7VNMPKEO \
  | 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: fc45381c3d6a0ffdf7a20b3f56b1ea23bad8e62f1aad925e13afc39935a05675

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18dd9b7ca35b10fc711ab18b25b4f158a7b2a3006966548017642142668f59cc",
    "cross_cats_sorted": [
      "math.IT",
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-03-03T08:54:25Z",
    "title_canon_sha256": "95198336470831792ef47d6e41947ec409782745d252acd7159aeb7b5ac997c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01080",
    "kind": "arxiv",
    "version": 2
  }
}