Pith Number

pith:RUL7ROG5

pith:2017:RUL7ROG5OO2375I2YFLDR33R7J

not attested not anchored not stored refs pending

A cobordism model for Waldhausen $K$-theory

George Raptis, Wolfgang Steimle

arxiv:1711.08779 v3 · 2017-11-23 · math.KT · 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{RUL7ROG5OO2375I2YFLDR33R7J}

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	2026-05-18T00:00:45.918798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d17f8b8dd73b5bff51ac15638ef71fa42116c9e1f9ca783d2450e139b035250

Aliases

arxiv: 1711.08779 · arxiv_version: 1711.08779v3 · doi: 10.48550/arxiv.1711.08779 · pith_short_12: RUL7ROG5OO23 · pith_short_16: RUL7ROG5OO2375I2 · pith_short_8: RUL7ROG5

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/RUL7ROG5OO2375I2YFLDR33R7J \
  | 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: 8d17f8b8dd73b5bff51ac15638ef71fa42116c9e1f9ca783d2450e139b035250

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3e1f11e75edd4a5861347fe6511b79e6c8e3a7cfe917f4df7df4f0009d200a3",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2017-11-23T17:24:00Z",
    "title_canon_sha256": "6ca83ef5f106bf9364ea3ab1e86c8314881aec0f26878c8e66ce935725f20ed1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08779",
    "kind": "arxiv",
    "version": 3
  }
}