Pith Number

pith:ZNSSYSSP

pith:2016:ZNSSYSSP5J4NJ2L2X2DF4ID5DY

not attested not anchored not stored refs pending

Matrix Representation for Multiplicative Nested Sums

Diane Yahui Shi, Lin Jiu

arxiv:1611.02425 v3 · 2016-11-08 · math.CO · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNSSYSSP5J4NJ2L2X2DF4ID5DY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:27:22.072602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb652c4a4fea78d4e97abe865e207d1e294d82a92223409a8a26341033cbfe23

Aliases

arxiv: 1611.02425 · arxiv_version: 1611.02425v3 · doi: 10.48550/arxiv.1611.02425 · pith_short_12: ZNSSYSSP5J4N · pith_short_16: ZNSSYSSP5J4NJ2L2 · pith_short_8: ZNSSYSSP

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/ZNSSYSSP5J4NJ2L2X2DF4ID5DY \
  | 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: cb652c4a4fea78d4e97abe865e207d1e294d82a92223409a8a26341033cbfe23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e4daf57907cb146d631dc595eb522ac7ba128b9bf1edc37e80460bb4ce051fe",
    "cross_cats_sorted": [
      "math.NT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-08T08:35:26Z",
    "title_canon_sha256": "98c1e607d61e6143da3677f8630838426f175eb8095d05b1ba5b87f8bd7099da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02425",
    "kind": "arxiv",
    "version": 3
  }
}