Pith Number

pith:JTCFE534

pith:2011:JTCFE534LQKRZAA7OSIL7ALFEQ

not attested not anchored not stored refs pending

On a paper of K. Soundararajan on smooth numbers in arithmetic progressions

Adam J. Harper

arxiv:1103.2106 v1 · 2011-03-10 · 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{JTCFE534LQKRZAA7OSIL7ALFEQ}

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	2026-05-18T04:27:02.963557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cc452777c5c151c801f7490bf8165242fd55c182e6d760da475c1f214611bd4

Aliases

arxiv: 1103.2106 · arxiv_version: 1103.2106v1 · doi: 10.48550/arxiv.1103.2106 · pith_short_12: JTCFE534LQKR · pith_short_16: JTCFE534LQKRZAA7 · pith_short_8: JTCFE534

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/JTCFE534LQKRZAA7OSIL7ALFEQ \
  | 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: 4cc452777c5c151c801f7490bf8165242fd55c182e6d760da475c1f214611bd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd9346d1cc613d357523d997d89c7822aee1e7303d904b38bac4bd87cfd49019",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-10T19:03:52Z",
    "title_canon_sha256": "8aa6de77ab6a7a8a07f8c684c529391a5531c47563ba1edac562def8836f97a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2106",
    "kind": "arxiv",
    "version": 1
  }
}