Pith Number

pith:K4HSEQVO

pith:2017:K4HSEQVORCBU6APSJYLTFAFEUK

not attested not anchored not stored refs pending

Uniform Symbolic Topologies via Multinomial Expansions

Robert M. Walker

arxiv:1703.04530 v2 · 2017-03-13 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4HSEQVORCBU6APSJYLTFAFEUK}

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	2026-05-18T00:00:09.355271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

570f2242ae88834f01f24e173280a4a2bae8b4bcb2e18159009ee4cc05c5a5b2

Aliases

arxiv: 1703.04530 · arxiv_version: 1703.04530v2 · doi: 10.48550/arxiv.1703.04530 · pith_short_12: K4HSEQVORCBU · pith_short_16: K4HSEQVORCBU6APS · pith_short_8: K4HSEQVO

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/K4HSEQVORCBU6APSJYLTFAFEUK \
  | 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: 570f2242ae88834f01f24e173280a4a2bae8b4bcb2e18159009ee4cc05c5a5b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e2ddd44406b7198d047c6803fd14dce049aeb6d73977c2abc915e02ec064990",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-03-13T17:59:07Z",
    "title_canon_sha256": "8b96b1451e2a16c5a8dceec6ebca0cf2709bd33c0a46aed7f3d140f983968207"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.04530",
    "kind": "arxiv",
    "version": 2
  }
}