Pith Number

pith:OFKKYVDU

pith:2011:OFKKYVDU3E2P6P3CC4YUISYP3R

not attested not anchored not stored refs pending

The generating function of the $\sigma_1$ function

Jingbo Wang

arxiv:1102.1155 v1 · 2011-02-06 · 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{OFKKYVDU3E2P6P3CC4YUISYP3R}

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	2026-05-18T04:29:54.900941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7154ac5474d934ff3f621731444b0fdc7352fac301fe430966eac777b3e25f44

Aliases

arxiv: 1102.1155 · arxiv_version: 1102.1155v1 · doi: 10.48550/arxiv.1102.1155 · pith_short_12: OFKKYVDU3E2P · pith_short_16: OFKKYVDU3E2P6P3C · pith_short_8: OFKKYVDU

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/OFKKYVDU3E2P6P3CC4YUISYP3R \
  | 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: 7154ac5474d934ff3f621731444b0fdc7352fac301fe430966eac777b3e25f44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee21af9de735c03402b66bc2faa1c03691038346e51f12fecd4dc3fb9f7bf886",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-06T14:16:13Z",
    "title_canon_sha256": "edc4aa89199283dcb03e03059d649b340774bdda15036df9916810b01b192740"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1155",
    "kind": "arxiv",
    "version": 1
  }
}