Pith Number

pith:BLCBVLUE

pith:2014:BLCBVLUEIX5I6TDK6HU4W57ACL

not attested not anchored not stored refs pending

New sum-product type estimates over finite fields

Ilya D. Shkredov, Misha Rudnev, Oliver Roche-Newton

arxiv:1408.0542 v3 · 2014-08-03 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BLCBVLUEIX5I6TDK6HU4W57ACL}

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	2026-05-18T01:06:23.137253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ac41aae8445fa8f4c6af1e9cb77e012d6b5533ababe62a50d3fa114782aa95d

Aliases

arxiv: 1408.0542 · arxiv_version: 1408.0542v3 · doi: 10.48550/arxiv.1408.0542 · pith_short_12: BLCBVLUEIX5I · pith_short_16: BLCBVLUEIX5I6TDK · pith_short_8: BLCBVLUE

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/BLCBVLUEIX5I6TDK6HU4W57ACL \
  | 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: 0ac41aae8445fa8f4c6af1e9cb77e012d6b5533ababe62a50d3fa114782aa95d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bed47a61a7eebb0312dda4fc99605fc1423ad26425752614aa734afc0cda4f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-03T20:46:34Z",
    "title_canon_sha256": "783fd72a29448b3f437031c658a404bccff6657821b9d4ea1b84f1684b36aff2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0542",
    "kind": "arxiv",
    "version": 3
  }
}