Pith Number

pith:KRTCW2RB

pith:2014:KRTCW2RBTG2LEJ6IMYNVQJWKFC

not attested not anchored not stored refs pending

Multivariate arithmetical functions and vector calculus

Yusuke Fujisawa

arxiv:1403.7813 v2 · 2014-03-30 · 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{KRTCW2RBTG2LEJ6IMYNVQJWKFC}

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	2026-05-18T02:49:11.737535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54662b6a2199b4b227c8661b5826ca288f5e94985db683ea1e455251a1e6fe15

Aliases

arxiv: 1403.7813 · arxiv_version: 1403.7813v2 · doi: 10.48550/arxiv.1403.7813 · pith_short_12: KRTCW2RBTG2L · pith_short_16: KRTCW2RBTG2LEJ6I · pith_short_8: KRTCW2RB

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/KRTCW2RBTG2LEJ6IMYNVQJWKFC \
  | 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: 54662b6a2199b4b227c8661b5826ca288f5e94985db683ea1e455251a1e6fe15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f15cc8ba06899e8285baa9f63691f9bee4348415f143e42800cb406d2c20830c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-03-30T21:21:00Z",
    "title_canon_sha256": "c72bcc43caf43b6923b5b9abddf717042f50a7acdb284243e75153abbc4467f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7813",
    "kind": "arxiv",
    "version": 2
  }
}