Pith Number

pith:IVND6IO2

pith:2018:IVND6IO265KUXZTIWWSARHYSJR

not attested not anchored not stored refs pending

$E_{2}$ Structures and Derived Koszul Duality in String Topology

Andrew J. Blumberg, Michael A. Mandell

arxiv:1801.03549 v1 · 2018-01-10 · 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{IVND6IO265KUXZTIWWSARHYSJR}

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	2026-05-17T23:54:11.651608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

455a3f21daf7554be668b5a4089f124c6f2e9fd607fa905b00c0303f3902be66

Aliases

arxiv: 1801.03549 · arxiv_version: 1801.03549v1 · doi: 10.48550/arxiv.1801.03549 · pith_short_12: IVND6IO265KU · pith_short_16: IVND6IO265KUXZTI · pith_short_8: IVND6IO2

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/IVND6IO265KUXZTIWWSARHYSJR \
  | 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: 455a3f21daf7554be668b5a4089f124c6f2e9fd607fa905b00c0303f3902be66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dcfce3ae2195ba0483f67cd9f4459f0eecf25d35079584a36a0a1b8d2fee25c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-01-10T20:40:30Z",
    "title_canon_sha256": "1e3a2c174ce2e52a21d6739633b1c546438e8582ef7ccf979e64666d55346466"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03549",
    "kind": "arxiv",
    "version": 1
  }
}