Pith Number

pith:7L232GZC

pith:2007:7L232GZCR734KM3W2GSLHLJTRC

not attested not anchored not stored refs pending

Algebraic K-theory and abstract homotopy theory

Andrew J. Blumberg, Michael A. Mandell

arxiv:0708.0206 v4 · 2007-08-01 · 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{7L232GZCR734KM3W2GSLHLJTRC}

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	2026-05-18T04:16:10.900372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faf5bd1b228ff7c53376d1a4b3ad3388bc7f27c3de6c7ad3b8de253baa466253

Aliases

arxiv: 0708.0206 · arxiv_version: 0708.0206v4 · doi: 10.48550/arxiv.0708.0206 · pith_short_12: 7L232GZCR734 · pith_short_16: 7L232GZCR734KM3W · pith_short_8: 7L232GZC

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/7L232GZCR734KM3W2GSLHLJTRC \
  | 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: faf5bd1b228ff7c53376d1a4b3ad3388bc7f27c3de6c7ad3b8de253baa466253

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45e3b6bcbb7133e5655f1aea519d30d9ca6ce522649e286e688e3b3a08b012fc",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2007-08-01T18:11:03Z",
    "title_canon_sha256": "8145d04fd837a765ff134d6f97a3e5d03b10721860ba394f5139585953d84700"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.0206",
    "kind": "arxiv",
    "version": 4
  }
}