Pith Number

pith:O7PQCND3

pith:2017:O7PQCND3GU5TM66IKBKAQZHYZU

not attested not anchored not stored refs pending

Infinite loop spaces and positive scalar curvature in the presence of a fundamental group

Johannes Ebert, Oscar Randal-Williams

arxiv:1711.11363 v1 · 2017-11-30 · math.AT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7PQCND3GU5TM66IKBKAQZHYZU}

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	2026-05-17T23:44:15.624805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77df01347b353b367bc850540864f8cd12ec9045a401ab2133d35098edde58eb

Aliases

arxiv: 1711.11363 · arxiv_version: 1711.11363v1 · doi: 10.48550/arxiv.1711.11363 · pith_short_12: O7PQCND3GU5T · pith_short_16: O7PQCND3GU5TM66I · pith_short_8: O7PQCND3

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/O7PQCND3GU5TM66IKBKAQZHYZU \
  | 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: 77df01347b353b367bc850540864f8cd12ec9045a401ab2133d35098edde58eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1730377a897910cc9f9b9909059d1d0ac171a8b794e97a5197a033ceae92b2c8",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-11-30T13:00:13Z",
    "title_canon_sha256": "f229e8dfd4da78f0aba6c033d737803aa61df101f64207f787614590e036fceb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.11363",
    "kind": "arxiv",
    "version": 1
  }
}