Pith Number

pith:QEA45SGF

pith:2012:QEA45SGFDNM24YN2PZPILC6YTL

not attested not anchored not stored refs pending

Homotopy transfer and rational models for mapping spaces

Javier J. Guti\'errez, Urtzi Buijs

arxiv:1210.4664 v3 · 2012-10-17 · 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{QEA45SGFDNM24YN2PZPILC6YTL}

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	2026-05-18T00:07:12.741954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8101cec8c51b59ae61ba7e5e858bd89ace534830befd72506cb348a77f0997b9

Aliases

arxiv: 1210.4664 · arxiv_version: 1210.4664v3 · doi: 10.48550/arxiv.1210.4664 · pith_short_12: QEA45SGFDNM2 · pith_short_16: QEA45SGFDNM24YN2 · pith_short_8: QEA45SGF

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/QEA45SGFDNM24YN2PZPILC6YTL \
  | 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: 8101cec8c51b59ae61ba7e5e858bd89ace534830befd72506cb348a77f0997b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38fc4c989daf3f3db49302af971777a00479840547e89cd4da77bad0c2521b25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-10-17T08:27:10Z",
    "title_canon_sha256": "8e40b4547b224f6ff48b3b97c2db58a713d56293dfda2b8d9710328f878dc5f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4664",
    "kind": "arxiv",
    "version": 3
  }
}