Pith Number

pith:JMCCHSBO

pith:2018:JMCCHSBOK54UZFAP767ZJPBDWK

not attested not anchored not stored refs pending

Note on a sum involving the Euler function

Hao Pan, Li-Xia Dai

arxiv:1809.10381 v3 · 2018-09-27 · 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{JMCCHSBOK54UZFAP767ZJPBDWK}

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	2026-05-18T00:02:44.234463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b0423c82e57794c940fffbf94bc23b2a2e42aa2dc4a4a4422612abf8b6c029a

Aliases

arxiv: 1809.10381 · arxiv_version: 1809.10381v3 · doi: 10.48550/arxiv.1809.10381 · pith_short_12: JMCCHSBOK54U · pith_short_16: JMCCHSBOK54UZFAP · pith_short_8: JMCCHSBO

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/JMCCHSBOK54UZFAP767ZJPBDWK \
  | 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: 4b0423c82e57794c940fffbf94bc23b2a2e42aa2dc4a4a4422612abf8b6c029a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bdb360dcd816627c62add3df1b8afc4f3795bba1120beeafc67fa0b16247d32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-27T07:35:54Z",
    "title_canon_sha256": "d4c93a6da851a69338f4e7df8ac5baba5ba27b511f0a764c292e77729915ed4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10381",
    "kind": "arxiv",
    "version": 3
  }
}