Pith Number

pith:DUPT5DRP

pith:2014:DUPT5DRPEXW7EIA4DKCOUKZFFN

not attested not anchored not stored refs pending

A Density Increment Approach to Roth's Theorem in the Primes

Eric Naslund

arxiv:1409.3595 v2 · 2014-09-11 · math.NT · 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{DUPT5DRPEXW7EIA4DKCOUKZFFN}

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	2026-05-18T01:53:09.174560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d1f3e8e2f25edf2201c1a84ea2b252b7eb18b482a05b877715e84a901a119a9

Aliases

arxiv: 1409.3595 · arxiv_version: 1409.3595v2 · doi: 10.48550/arxiv.1409.3595 · pith_short_12: DUPT5DRPEXW7 · pith_short_16: DUPT5DRPEXW7EIA4 · pith_short_8: DUPT5DRP

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/DUPT5DRPEXW7EIA4DKCOUKZFFN \
  | 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: 1d1f3e8e2f25edf2201c1a84ea2b252b7eb18b482a05b877715e84a901a119a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d25467c7a3fe775c116c60e456866aaddd30a7d561fe9cf49313ca67e61221b0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-11T21:04:01Z",
    "title_canon_sha256": "6913beb24624ffb3262acfd9b743b39468081f85c0048117e47780ff02ef12f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3595",
    "kind": "arxiv",
    "version": 2
  }
}