Pith Number

pith:YQMLPO5R

pith:2017:YQMLPO5RTLMOXU3FXLHJN2CLX7

not attested not anchored not stored refs pending

On $BP\langle 2\rangle$-cooperations

Dominic Culver

arxiv:1708.03001 v2 · 2017-08-09 · 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{YQMLPO5RTLMOXU3FXLHJN2CLX7}

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	2026-05-17T23:51:00.199620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c418b7bbb19ad8ebd365bace96e84bbff045994287e3c57ccc2b4e4a9f64f239

Aliases

arxiv: 1708.03001 · arxiv_version: 1708.03001v2 · doi: 10.48550/arxiv.1708.03001 · pith_short_12: YQMLPO5RTLMO · pith_short_16: YQMLPO5RTLMOXU3F · pith_short_8: YQMLPO5R

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/YQMLPO5RTLMOXU3FXLHJN2CLX7 \
  | 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: c418b7bbb19ad8ebd365bace96e84bbff045994287e3c57ccc2b4e4a9f64f239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b5dc9554d84b93c0ae57b88fb8711d5e3007ad0e364f78ed87cea4036324fa7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-08-09T20:24:12Z",
    "title_canon_sha256": "be8aeaabbc5bf64a9a93f762c9284efd10a4ca4b7063194ebb51f8decdd76707"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03001",
    "kind": "arxiv",
    "version": 2
  }
}