Pith Number

pith:Z7ZLXOWA

pith:2014:Z7ZLXOWACIIGBB7J3M5KIOZ7BB

not attested not anchored not stored refs pending

Tilting theory via stable homotopy theory

Jan Stovicek, Moritz Groth

arxiv:1401.6451 v2 · 2014-01-24 · math.AT · math.AG · math.CT · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7ZLXOWACIIGBB7J3M5KIOZ7BB}

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	2026-05-18T01:19:51.080725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cff2bbbac012106087e9db3aa43b3f08590473728e2d5d12267d66623458f280

Aliases

arxiv: 1401.6451 · arxiv_version: 1401.6451v2 · doi: 10.48550/arxiv.1401.6451 · pith_short_12: Z7ZLXOWACIIG · pith_short_16: Z7ZLXOWACIIGBB7J · pith_short_8: Z7ZLXOWA

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/Z7ZLXOWACIIGBB7J3M5KIOZ7BB \
  | 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: cff2bbbac012106087e9db3aa43b3f08590473728e2d5d12267d66623458f280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59d411411228f55527d5222910133a43876aae94ba695c63af0459d2fef79844",
    "cross_cats_sorted": [
      "math.AG",
      "math.CT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-01-24T20:47:59Z",
    "title_canon_sha256": "57326ca60bd4a2009b7b7093be49cfad643d0c32d9a5c525eb606d64455e2ec0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6451",
    "kind": "arxiv",
    "version": 2
  }
}