Pith Number

pith:4ZQMSOAB

pith:2016:4ZQMSOABOBPEQOLE4GXKCKRKVW

not attested not anchored not stored refs pending

On the Seventh Power Moment of $\Delta(x)$

Jinjiang Li

arxiv:1601.05515 v1 · 2016-01-21 · 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{4ZQMSOABOBPEQOLE4GXKCKRKVW}

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	2026-05-18T01:22:13.636989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e660c93801705e483964e1aea12a2aadb53dcaba4f1c7ec8e6fbb5db6e2e564c

Aliases

arxiv: 1601.05515 · arxiv_version: 1601.05515v1 · doi: 10.48550/arxiv.1601.05515 · pith_short_12: 4ZQMSOABOBPE · pith_short_16: 4ZQMSOABOBPEQOLE · pith_short_8: 4ZQMSOAB

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/4ZQMSOABOBPEQOLE4GXKCKRKVW \
  | 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: e660c93801705e483964e1aea12a2aadb53dcaba4f1c7ec8e6fbb5db6e2e564c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acc65a7dd9b2ccd7284deb4d74f72a5697ddf6fe424b946a9080b57251451997",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-21T05:36:57Z",
    "title_canon_sha256": "8782298c817bfca72ee6517f828052411246122c1d8f74e3528e21f95086b803"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05515",
    "kind": "arxiv",
    "version": 1
  }
}