Pith Number

pith:7L7K7FI7

pith:2015:7L7K7FI7QH6SKX2DYCM4SSDWIQ

not attested not anchored not stored refs pending

Farrell-Jones spheres and inertia groups of complex projective spaces

Ramesh Kasilingam

arxiv:1510.03029 v1 · 2015-10-11 · 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{7L7K7FI7QH6SKX2DYCM4SSDWIQ}

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	2026-05-18T00:37:48.822357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fafeaf951f81fd255f43c099c9487644179264807f46815baadb7930d52c27b4

Aliases

arxiv: 1510.03029 · arxiv_version: 1510.03029v1 · doi: 10.48550/arxiv.1510.03029 · pith_short_12: 7L7K7FI7QH6S · pith_short_16: 7L7K7FI7QH6SKX2D · pith_short_8: 7L7K7FI7

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/7L7K7FI7QH6SKX2DYCM4SSDWIQ \
  | 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: fafeaf951f81fd255f43c099c9487644179264807f46815baadb7930d52c27b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58be3bd8dba5311a33cfea508e59cdb4e8518919efdb3d5099e6da558c710cb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-10-11T09:47:10Z",
    "title_canon_sha256": "dc3fc34b31ce48f88477b3d5fb3e0fa5619004a3139ff1494afa0f3510c86ee9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03029",
    "kind": "arxiv",
    "version": 1
  }
}