Pith Number

pith:PTCH5WFN

pith:2019:PTCH5WFNZXWREPDIISLWPYJFIC

not attested not anchored not stored refs pending

Three topological reducibilities for discontinuous functions

Adam R. Day, Linda Brown Westrick, Rod Downey

arxiv:1906.07600 v1 · 2019-06-18 · 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{PTCH5WFNZXWREPDIISLWPYJFIC}

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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.

Cited by

1 paper in Pith

Topological reducibilities for discontinuous functions and their structures

Receipt and verification

First computed	2026-05-17T23:42:59.755789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cc47ed8adcded123c68449767e12540b0b84bd34b9fac4a007c8a1051003ce5

Aliases

arxiv: 1906.07600 · arxiv_version: 1906.07600v1 · doi: 10.48550/arxiv.1906.07600 · pith_short_12: PTCH5WFNZXWR · pith_short_16: PTCH5WFNZXWREPDI · pith_short_8: PTCH5WFN

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/PTCH5WFNZXWREPDIISLWPYJFIC \
  | 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: 7cc47ed8adcded123c68449767e12540b0b84bd34b9fac4a007c8a1051003ce5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0783275e0f5eebc2c2b222118f2b5492e7ef011aca23ad36f4b03f8dc684518",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-06-18T14:19:41Z",
    "title_canon_sha256": "0f2aa2af064c0a61cb7cf6a906423851900de93180dfa669f3f5550093424215"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07600",
    "kind": "arxiv",
    "version": 1
  }
}