Pith Number

pith:NN3CJM3U

pith:2017:NN3CJM3UW4XRNMJGPBSEKV2DHQ

not attested not anchored not stored refs pending

Generalized Riemann sums

Toshikazu Sunada

arxiv:1701.04699 v1 · 2017-01-15 · math.HO · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NN3CJM3UW4XRNMJGPBSEKV2DHQ}

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	2026-05-18T00:52:42.874578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b7624b374b72f16b12678644557433c222db1401c1c59470175a0566416f7e5

Aliases

arxiv: 1701.04699 · arxiv_version: 1701.04699v1 · doi: 10.48550/arxiv.1701.04699 · pith_short_12: NN3CJM3UW4XR · pith_short_16: NN3CJM3UW4XRNMJG · pith_short_8: NN3CJM3U

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/NN3CJM3UW4XRNMJGPBSEKV2DHQ \
  | 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: 6b7624b374b72f16b12678644557433c222db1401c1c59470175a0566416f7e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75a5c82e15ea900b3dc6fa7d8a63103409b451257ce57412186b4e352d644079",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2017-01-15T14:38:50Z",
    "title_canon_sha256": "d6f201a65cc71e6ae268352e92fa7b786d0199bb53d99910098998066ce2f463"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04699",
    "kind": "arxiv",
    "version": 1
  }
}