Pith Number

pith:2E6SHNL2

pith:2013:2E6SHNL2OFWNH5SAWJPJ76NLYQ

not attested not anchored not stored refs pending

The Duffin-Schaeffer type conjectures in various local fields

Liangpan Li

arxiv:1401.0035 v1 · 2013-12-30 · 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{2E6SHNL2OFWNH5SAWJPJ76NLYQ}

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	2026-05-18T01:15:15.517568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d13d23b57a716cd3f640b25e9ff9abc40b11e41bf4c66824865a43638572485d

Aliases

arxiv: 1401.0035 · arxiv_version: 1401.0035v1 · doi: 10.48550/arxiv.1401.0035 · pith_short_12: 2E6SHNL2OFWN · pith_short_16: 2E6SHNL2OFWNH5SA · pith_short_8: 2E6SHNL2

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/2E6SHNL2OFWNH5SAWJPJ76NLYQ \
  | 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: d13d23b57a716cd3f640b25e9ff9abc40b11e41bf4c66824865a43638572485d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c23a41a9d19c3f3474c4ece02d5e2504a422b6460abde557a08c3d1d62f36c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-30T22:02:41Z",
    "title_canon_sha256": "4d62942e281bb11df7db8b1c663ef7cf5d513abf475b3a162a16afae87475980"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0035",
    "kind": "arxiv",
    "version": 1
  }
}