Pith Number

pith:MTPV2RI3

pith:2016:MTPV2RI3EZXL2LZBMNHWP7W6ZY

not attested not anchored not stored refs pending

How Dennis realized he had `invented' $L_\infty$-algebras a.k.a. strongly homotopy Lie algebras

Jim Stasheff

arxiv:1609.08401 v1 · 2016-09-24 · math.AT · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTPV2RI3EZXL2LZBMNHWP7W6ZY}

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	2026-05-18T01:03:45.974827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64df5d451b266ebd2f21634f67fedece2652b4b0502c5e10ae99708694a7b5f7

Aliases

arxiv: 1609.08401 · arxiv_version: 1609.08401v1 · doi: 10.48550/arxiv.1609.08401 · pith_short_12: MTPV2RI3EZXL · pith_short_16: MTPV2RI3EZXL2LZB · pith_short_8: MTPV2RI3

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/MTPV2RI3EZXL2LZBMNHWP7W6ZY \
  | 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: 64df5d451b266ebd2f21634f67fedece2652b4b0502c5e10ae99708694a7b5f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bc6c50b5123ee7652a87f417be690dd9d4e443df6acb1a9b133922cb010eb5d",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-09-24T13:23:07Z",
    "title_canon_sha256": "9b9c57b3b7c3447359526829e929e279514c5eb7425b74067ae3efbcbe103106"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08401",
    "kind": "arxiv",
    "version": 1
  }
}