Pith Number

pith:KKGUR62K

pith:2016:KKGUR62K2XNBT77XMURRHOF4H2

not attested not anchored not stored refs pending

2-Segal sets and the Waldhausen construction

Ang\'elica M. Osorno, Claudia I. Scheimbauer, Julia E. Bergner, Martina Rovelli, Viktoriya Ozornova

arxiv:1609.02853 v3 · 2016-09-09 · math.AT · math.CT · 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{KKGUR62K2XNBT77XMURRHOF4H2}

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	2026-05-18T00:45:06.393675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

528d48fb4ad5da19fff7652313b8bc3e8431bc6f32245e65a3bf07eaba7f0e36

Aliases

arxiv: 1609.02853 · arxiv_version: 1609.02853v3 · doi: 10.48550/arxiv.1609.02853 · pith_short_12: KKGUR62K2XNB · pith_short_16: KKGUR62K2XNBT77X · pith_short_8: KKGUR62K

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/KKGUR62K2XNBT77XMURRHOF4H2 \
  | 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: 528d48fb4ad5da19fff7652313b8bc3e8431bc6f32245e65a3bf07eaba7f0e36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae7327040431a38ae41d764652e870d50a7542fbd9b4b26dec3cfa53d4b454d1",
    "cross_cats_sorted": [
      "math.CT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-09-09T16:31:38Z",
    "title_canon_sha256": "8a0f1d01ddde23cb2a14c4cf5a60244536cec6a2d7a55d2ac569b293778f5316"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02853",
    "kind": "arxiv",
    "version": 3
  }
}