Pith Number

pith:VXJWHZVZ

pith:2015:VXJWHZVZKHXD75373XECM4VLEK

not attested not anchored not stored refs pending

A topological semigroup structure on the space of actions modulo weak equivalence

Peter Burton

arxiv:1501.04373 v1 · 2015-01-19 · math.DS · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXJWHZVZKHXD75373XECM4VLEK}

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	2026-05-18T02:28:53.658339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

add363e6b951ee3ff77fddc82672ab229d2392c77639456c5679e6b286885277

Aliases

arxiv: 1501.04373 · arxiv_version: 1501.04373v1 · doi: 10.48550/arxiv.1501.04373 · pith_short_12: VXJWHZVZKHXD · pith_short_16: VXJWHZVZKHXD7537 · pith_short_8: VXJWHZVZ

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/VXJWHZVZKHXD75373XECM4VLEK \
  | 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: add363e6b951ee3ff77fddc82672ab229d2392c77639456c5679e6b286885277

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33ac4691ef04469ced3e524c5b17ba05a00e5db1efd1096f4ec5cacbdf9153cc",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-01-19T02:00:35Z",
    "title_canon_sha256": "4ce8b69a6c83a6c034709fa66b1189668262c99783711c909cea09eed99b5828"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04373",
    "kind": "arxiv",
    "version": 1
  }
}