Pith Number

pith:2RP5EMCE

pith:2019:2RP5EMCE6UXICMPBO3NHNN5O3F

not attested not anchored not stored refs pending

Additive Local Multiplications and zero-preserving maps on $C(X)$

Qian Hu

arxiv:1908.05671 v1 · 2019-08-15 · math.FA · math.OA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2RP5EMCE6UXICMPBO3NHNN5O3F}

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	2026-07-04T23:57:52.317966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d45fd23044f52e8131e176da76b7aed972f426d21161d96ff2ef184c9fe69799

Aliases

arxiv: 1908.05671 · arxiv_version: 1908.05671v1 · doi: 10.48550/arxiv.1908.05671 · pith_short_12: 2RP5EMCE6UXI · pith_short_16: 2RP5EMCE6UXICMPB · pith_short_8: 2RP5EMCE

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/2RP5EMCE6UXICMPBO3NHNN5O3F \
  | 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: d45fd23044f52e8131e176da76b7aed972f426d21161d96ff2ef184c9fe69799

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74c21b55779c9af9510e919763c8bd4b21015bd5713879c0befbdf109321eb0e",
    "cross_cats_sorted": [
      "math.OA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-15T01:30:08Z",
    "title_canon_sha256": "2c2fd14052a04575e30c3952471c0397b11cc147d5e7056d3d8c36b4caa1de00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05671",
    "kind": "arxiv",
    "version": 1
  }
}