Pith Number

pith:L2IQCN2Y

pith:2020:L2IQCN2Y7MIYJHS2WHRM657R62

not attested not anchored not stored refs pending

Definable Eilenberg--Mac Lane Universal Coefficient Theorems

Martino Lupini

arxiv:2009.10805 v3 · 2020-09-22 · math.AT · math.KT · 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{L2IQCN2Y7MIYJHS2WHRM657R62}

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	2026-07-05T01:41:57.369138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e91013758fb11849e5ab1e2cf77f1f6b9b4e8a7692a68bd0a2fdead70336bba

Aliases

arxiv: 2009.10805 · arxiv_version: 2009.10805v3 · doi: 10.48550/arxiv.2009.10805 · pith_short_12: L2IQCN2Y7MIY · pith_short_16: L2IQCN2Y7MIYJHS2 · pith_short_8: L2IQCN2Y

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/L2IQCN2Y7MIYJHS2WHRM657R62 \
  | 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: 5e91013758fb11849e5ab1e2cf77f1f6b9b4e8a7692a68bd0a2fdead70336bba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e0366be2a4f897e0b688963eb56aff7d376fa74e276f2e6a5dd99348a5c1710",
    "cross_cats_sorted": [
      "math.KT",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2020-09-22T20:45:09Z",
    "title_canon_sha256": "c27022e6aa4510ddb2a4e5c0337e2533ea6d7bcf2a5bef9cd67417984df135de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.10805",
    "kind": "arxiv",
    "version": 3
  }
}