Pith Number

pith:4SK7SUU4

pith:2025:4SK7SUU4CK6GSWLDO67NAPONP7

not attested not anchored not stored refs pending

Higher limits of wider systems

Jeffrey Bergfalk, Matteo Casarosa

arxiv:2507.05471 v1 · 2025-07-07 · math.LO · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4SK7SUU4CK6GSWLDO67NAPONP7}

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.

Cited by

1 paper in Pith

Infinitary combinatorics in condensed math and strong homology

Receipt and verification

First computed	2026-07-05T11:33:31.087474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e495f9529c12bc69596377bed03dcd7fd82aee3f10a479ee3f030aebb4d2a7e3

Aliases

arxiv: 2507.05471 · arxiv_version: 2507.05471v1 · doi: 10.48550/arxiv.2507.05471 · pith_short_12: 4SK7SUU4CK6G · pith_short_16: 4SK7SUU4CK6GSWLD · pith_short_8: 4SK7SUU4

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/4SK7SUU4CK6GSWLDO67NAPONP7 \
  | 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: e495f9529c12bc69596377bed03dcd7fd82aee3f10a479ee3f030aebb4d2a7e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf5b7dafb3a72243e2dabc4e65e8213325dff7e590de3a544730e821068fc376",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-07-07T20:45:42Z",
    "title_canon_sha256": "831dc887f39c12011a8603f8970e8fb3bdeddb605a320f77b45c7a3b4899925c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05471",
    "kind": "arxiv",
    "version": 1
  }
}