Pith Number

pith:5CLSCX2G

pith:2018:5CLSCX2GTYBCF7LL45CQ46BNYL

not attested not anchored not stored refs pending

The $A_\infty$-structure of the index map

Jesse Wolfson, Michael Groechenig, Oliver Braunling

arxiv:1806.08766 v1 · 2018-06-22 · 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{5CLSCX2GTYBCF7LL45CQ46BNYL}

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	2026-05-18T00:12:36.198723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e897215f469e0222fd6be7450e782dc2f8b7de540751c48a45bccb0268d0e033

Aliases

arxiv: 1806.08766 · arxiv_version: 1806.08766v1 · doi: 10.48550/arxiv.1806.08766 · pith_short_12: 5CLSCX2GTYBC · pith_short_16: 5CLSCX2GTYBCF7LL · pith_short_8: 5CLSCX2G

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/5CLSCX2GTYBCF7LL45CQ46BNYL \
  | 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: e897215f469e0222fd6be7450e782dc2f8b7de540751c48a45bccb0268d0e033

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71cd0fb69a7a03468e75ae22a5e118ba0d73b4c05e4a11a3055ea355e5077cba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2018-06-22T17:02:19Z",
    "title_canon_sha256": "85bc587f5ecfba22e4a6f9fdcf8a06cc2e4765917f68bc9fa5da66e7eb44e4ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08766",
    "kind": "arxiv",
    "version": 1
  }
}