Pith Number

pith:HYLSOU46

pith:2015:HYLSOU46UF2426OX4DMACWJGGM

not attested not anchored not stored refs pending

Strong Homology, Derived Limits, and Set Theory

Jeffrey Bergfalk

arxiv:1509.09267 v1 · 2015-09-30 · math.LO · math.AT · 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{HYLSOU46UF2426OX4DMACWJGGM}

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	2026-05-18T01:31:21.869384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e1727539ea175cd79d7e0d801592633062271c943ceceb20356eda0c6b9f544

Aliases

arxiv: 1509.09267 · arxiv_version: 1509.09267v1 · doi: 10.48550/arxiv.1509.09267 · pith_short_12: HYLSOU46UF24 · pith_short_16: HYLSOU46UF2426OX · pith_short_8: HYLSOU46

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/HYLSOU46UF2426OX4DMACWJGGM \
  | 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: 3e1727539ea175cd79d7e0d801592633062271c943ceceb20356eda0c6b9f544

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9965aa66c80a56674f5f67adecf7b413cac4a8e303349a3310e1c66ab2afc2ce",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-09-30T17:38:44Z",
    "title_canon_sha256": "e9ce9527a92a5a1ad09db4f3f7e5191bb99e628f6fee08d0d34b016412a0a7e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09267",
    "kind": "arxiv",
    "version": 1
  }
}