Pith Number

pith:X5X5TBDV

pith:2013:X5X5TBDVNXGKSWCKHQ774U7Y6M

not attested not anchored not stored refs pending

Strong colorings yield kappa-bounded spaces with discretely untouchable points

Istvan Juhasz, Saharon Shelah

arxiv:1307.1989 v1 · 2013-07-08 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5X5TBDVNXGKSWCKHQ774U7Y6M}

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	2026-05-18T03:19:02.859550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf6fd984756dcca9584a3c3ffe53f8f3280c3572fe4ebde7d318bd5b40ffdb89

Aliases

arxiv: 1307.1989 · arxiv_version: 1307.1989v1 · doi: 10.48550/arxiv.1307.1989 · pith_short_12: X5X5TBDVNXGK · pith_short_16: X5X5TBDVNXGKSWCK · pith_short_8: X5X5TBDV

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/X5X5TBDVNXGKSWCKHQ774U7Y6M \
  | 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: bf6fd984756dcca9584a3c3ffe53f8f3280c3572fe4ebde7d318bd5b40ffdb89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ad482156013cd7feed7fb74c31f107bd5826aa260a4dba21b42c80ee33d7822",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2013-07-08T09:10:09Z",
    "title_canon_sha256": "95678542cee37bca51e20c9993aa2de7c123b23e5f04de11812b8e3144d119be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1989",
    "kind": "arxiv",
    "version": 1
  }
}