Pith Number

pith:WXMKUH2A

pith:2019:WXMKUH2ABU3DEP7IN5BOOADTUK

not attested not anchored not stored refs pending

Direct spectra of Bishop spaces and their limits

Iosif Petrakis

arxiv:1907.03273 v4 · 2019-07-07 · 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{WXMKUH2ABU3DEP7IN5BOOADTUK}

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	2026-07-05T06:23:27.567244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5d8aa1f400d36323fe86f42e70073a2806941fd8203192708bb1a9e7b72967f

Aliases

arxiv: 1907.03273 · arxiv_version: 1907.03273v4 · doi: 10.48550/arxiv.1907.03273 · pith_short_12: WXMKUH2ABU3D · pith_short_16: WXMKUH2ABU3DEP7I · pith_short_8: WXMKUH2A

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/WXMKUH2ABU3DEP7IN5BOOADTUK \
  | 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: b5d8aa1f400d36323fe86f42e70073a2806941fd8203192708bb1a9e7b72967f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9a913a7b97f8cc5aee4f35e57ba66a9d0af9261611d25c32543fcb5d841a1d9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-07-07T11:55:42Z",
    "title_canon_sha256": "ae3da8d242b0414f68381983f18adaf172a65cb7f7b2bd1d3ec3d1c2b1fb397c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03273",
    "kind": "arxiv",
    "version": 4
  }
}