Pith Number

pith:JTWAP57C

pith:2015:JTWAP57CSQ3L4XVRD3RT6TEEKZ

not attested not anchored not stored refs pending

A Torus Theorem for homotopy nilpotent groups

Antonio Viruel, Cristina Costoya, J\'er\^ome Scherer

arxiv:1504.06100 v2 · 2015-04-23 · 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{JTWAP57CSQ3L4XVRD3RT6TEEKZ}

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	2026-05-18T00:43:36.142366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cec07f7e29436be5eb11ee33f4c84567209d64673e3c4a5615579e5263ecce9

Aliases

arxiv: 1504.06100 · arxiv_version: 1504.06100v2 · doi: 10.48550/arxiv.1504.06100 · pith_short_12: JTWAP57CSQ3L · pith_short_16: JTWAP57CSQ3L4XVR · pith_short_8: JTWAP57C

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/JTWAP57CSQ3L4XVRD3RT6TEEKZ \
  | 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: 4cec07f7e29436be5eb11ee33f4c84567209d64673e3c4a5615579e5263ecce9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae8027cc4550358a2c76f8fa921ade964e46e1cbc65124cdea6f661ea831acf7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-04-23T09:23:10Z",
    "title_canon_sha256": "fdec5fb3f1e3d3ace2b78cee445cf520290b897db33fe57a4031f0d263262bf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06100",
    "kind": "arxiv",
    "version": 2
  }
}