Pith Number

pith:GRF34F6G

pith:2014:GRF34F6GGWC2QBP4JRLSC2GDN7

not attested not anchored not stored refs pending

Bousfield localisations along Quillen bifunctors

Constanze Roitzheim, Javier J. Guti\'errez

arxiv:1411.0500 v3 · 2014-11-03 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRF34F6GGWC2QBP4JRLSC2GDN7}

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	2026-05-18T00:07:12.702211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

344bbe17c63585a805fc4c572168c36fcaa86b6b189fbdcd376a342f41ed4ecb

Aliases

arxiv: 1411.0500 · arxiv_version: 1411.0500v3 · doi: 10.48550/arxiv.1411.0500 · pith_short_12: GRF34F6GGWC2 · pith_short_16: GRF34F6GGWC2QBP4 · pith_short_8: GRF34F6G

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/GRF34F6GGWC2QBP4JRLSC2GDN7 \
  | 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: 344bbe17c63585a805fc4c572168c36fcaa86b6b189fbdcd376a342f41ed4ecb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99a25d4de384a087fd217745d6934e89535f0e1fb4e98a60e84feec4ef534a68",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-11-03T14:29:07Z",
    "title_canon_sha256": "9689ccbce9e3b9ab83bbbf305a228fa812aef48b34fe76bb44aa5fdedbff68a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0500",
    "kind": "arxiv",
    "version": 3
  }
}