Pith Number

pith:QF3VJUFW

pith:2014:QF3VJUFWO4B66ZDCBV7ANRRJXD

not attested not anchored not stored refs pending

Virtual vector bundles and graded Thom spectra

Christian Schlichtkrull, Steffen Sagave

arxiv:1410.4492 v3 · 2014-10-16 · 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{QF3VJUFWO4B66ZDCBV7ANRRJXD}

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	2026-05-17T23:40:50.182452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

817754d0b67703ef64620d7e06c629b8e5610abcad2ac505d515889e344b95f5

Aliases

arxiv: 1410.4492 · arxiv_version: 1410.4492v3 · doi: 10.48550/arxiv.1410.4492 · pith_short_12: QF3VJUFWO4B6 · pith_short_16: QF3VJUFWO4B66ZDC · pith_short_8: QF3VJUFW

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/QF3VJUFWO4B66ZDCBV7ANRRJXD \
  | 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: 817754d0b67703ef64620d7e06c629b8e5610abcad2ac505d515889e344b95f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "970403374052e27eb6b4c7726796c9def7ae8bc71dbe92ce83b3067a361c88e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-10-16T16:49:15Z",
    "title_canon_sha256": "be925efb5b059db3ca9a46124d901edebec9fad1d092458467d5ed039e5c06e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4492",
    "kind": "arxiv",
    "version": 3
  }
}