Pith Number

pith:KQGASX3U

pith:2017:KQGASX3UHLV42NETBQ3NNVZRJW

not attested not anchored not stored refs pending

Eilenberg-MacLane mapping algebras and higher distributivity up to homotopy

Hans-Joachim Baues, Martin Frankland

arxiv:1703.07512 v3 · 2017-03-22 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQGASX3UHLV42NETBQ3NNVZRJW}

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	2026-05-18T00:31:51.347008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

540c095f743aebcd34930c36d6d7314da4937a34e3236c344cdf038273c194fc

Aliases

arxiv: 1703.07512 · arxiv_version: 1703.07512v3 · doi: 10.48550/arxiv.1703.07512 · pith_short_12: KQGASX3UHLV4 · pith_short_16: KQGASX3UHLV42NET · pith_short_8: KQGASX3U

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/KQGASX3UHLV42NETBQ3NNVZRJW \
  | 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: 540c095f743aebcd34930c36d6d7314da4937a34e3236c344cdf038273c194fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de90feaf25764f8225b18eb33b813bd32b6c247195d3744673cd7072bc82e17a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-03-22T04:23:10Z",
    "title_canon_sha256": "a9cde917d6a73dfa393c37ef5c57bf50dc7e43b98af1b97b2f25e777c8fc64c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07512",
    "kind": "arxiv",
    "version": 3
  }
}