Pith Number

pith:NEO4UVJJ

pith:2013:NEO4UVJJMSGDVMHGMUO7KOLKFF

not attested not anchored not stored refs pending

Tree Codes and a Conjecture on Exponential Sums

Cristopher Moore, Leonard J. Schulman

arxiv:1308.6007 v2 · 2013-08-27 · cs.CC · cs.IT · math.IT · 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{NEO4UVJJMSGDVMHGMUO7KOLKFF}

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	2026-05-18T03:05:09.631285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

691dca5529648c3ab0e6651df5396a2977ae2fa4a00590ee5d1faafe3313efc1

Aliases

arxiv: 1308.6007 · arxiv_version: 1308.6007v2 · doi: 10.48550/arxiv.1308.6007 · pith_short_12: NEO4UVJJMSGD · pith_short_16: NEO4UVJJMSGDVMHG · pith_short_8: NEO4UVJJ

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/NEO4UVJJMSGDVMHGMUO7KOLKFF \
  | 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: 691dca5529648c3ab0e6651df5396a2977ae2fa4a00590ee5d1faafe3313efc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28e5c51f046ccd0b9d7d92f5f505f68ad5904377daa5d2e2367ee75151579540",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-08-27T22:42:33Z",
    "title_canon_sha256": "222e85c97b42ca08093e4141ef5a4032b562192dc733e28c90abcf3d4f456b3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6007",
    "kind": "arxiv",
    "version": 2
  }
}