Pith Number

pith:7HVJDXVE

pith:2017:7HVJDXVEVLC3FTYJAIFJJAF4Y3

not attested not anchored not stored refs pending

Positive scalar curvature and low-degree group homology

No\'e B\'arcenas, Rudolf Zeidler

arxiv:1709.07216 v2 · 2017-09-21 · math.KT · math.DG · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7HVJDXVEVLC3FTYJAIFJJAF4Y3}

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	2026-05-18T00:09:53.913119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9ea91dea4aac5b2cf09020a9480bcc6d3914fb4c79b6df6d7783e03f471b5a6

Aliases

arxiv: 1709.07216 · arxiv_version: 1709.07216v2 · doi: 10.48550/arxiv.1709.07216 · pith_short_12: 7HVJDXVEVLC3 · pith_short_16: 7HVJDXVEVLC3FTYJ · pith_short_8: 7HVJDXVE

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/7HVJDXVEVLC3FTYJAIFJJAF4Y3 \
  | 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: f9ea91dea4aac5b2cf09020a9480bcc6d3914fb4c79b6df6d7783e03f471b5a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4ebd8108c627f35941828230c10b75a952851cba4293c2a17afc907a6acf65f",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2017-09-21T09:10:08Z",
    "title_canon_sha256": "2bea7082486174d2a550882cf3bd289aee731382155e8cb2f0648686276daee9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07216",
    "kind": "arxiv",
    "version": 2
  }
}