Pith Number

pith:DN5RZQPM

pith:2017:DN5RZQPMBYRVKQG5N5HYLUVSDV

not attested not anchored not stored refs pending

Models in Rational homotopy theory and Torus Rank Conjecture

Qianwen Sun, Xiugui Liu, Yanlong Hao

arxiv:1705.04180 v3 · 2017-05-11 · 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{DN5RZQPMBYRVKQG5N5HYLUVSDV}

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	2026-05-18T00:43:49.824595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b7b1cc1ec0e235540dd6f4f85d2b21d7f58aad5082b1ee7f05a7ccc62c51b5c

Aliases

arxiv: 1705.04180 · arxiv_version: 1705.04180v3 · doi: 10.48550/arxiv.1705.04180 · pith_short_12: DN5RZQPMBYRV · pith_short_16: DN5RZQPMBYRVKQG5 · pith_short_8: DN5RZQPM

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/DN5RZQPMBYRVKQG5N5HYLUVSDV \
  | 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: 1b7b1cc1ec0e235540dd6f4f85d2b21d7f58aad5082b1ee7f05a7ccc62c51b5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ce9762fee906f0b85aa916da0b4698cee9294e90966dded5b0c1a1cc3df7a58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-05-11T13:43:15Z",
    "title_canon_sha256": "1153d4f7872084f7e0adc4e252d2af5c7a995f46c4a64636e6170d348b94d9a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04180",
    "kind": "arxiv",
    "version": 3
  }
}