Pith Number

pith:Q2C5GMBN

pith:2010:Q2C5GMBNRDXQRVBM2WFIA4OJBS

not attested not anchored not stored refs pending

On a Theorem of Friedlander and Iwaniec

Alex Kontorovich, Jean Bourgain

arxiv:1008.0825 v1 · 2010-08-04 · 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{Q2C5GMBNRDXQRVBM2WFIA4OJBS}

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	2026-05-18T04:42:35.545250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8685d3302d88ef08d42cd58a8071c90cbe89b600c1b3c6f90c2eebd7148b4ec9

Aliases

arxiv: 1008.0825 · arxiv_version: 1008.0825v1 · doi: 10.48550/arxiv.1008.0825 · pith_short_12: Q2C5GMBNRDXQ · pith_short_16: Q2C5GMBNRDXQRVBM · pith_short_8: Q2C5GMBN

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/Q2C5GMBNRDXQRVBM2WFIA4OJBS \
  | 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: 8685d3302d88ef08d42cd58a8071c90cbe89b600c1b3c6f90c2eebd7148b4ec9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccf43eb7d0996423fc5bc7193d777c767700a85b7b5155e28df3b68e691157f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-04T17:09:43Z",
    "title_canon_sha256": "97c9bfe369a8d86d4713f9ec247db28f51f31fde2ea2259b78299694f5b19d23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0825",
    "kind": "arxiv",
    "version": 1
  }
}