Pith Number

pith:GOH2YM6P

pith:2016:GOH2YM6P2XDZZ6D46IP2CZDBL5

not attested not anchored not stored refs pending

On exotic equivalences and a theorem of Franke

Irakli Patchkoria

arxiv:1612.03732 v1 · 2016-12-12 · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GOH2YM6P2XDZZ6D46IP2CZDBL5}

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	2026-05-18T00:30:46.355164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

338fac33cfd5c79cf87cf21fa164615f77e85a1be3fa267e18679e047f19e493

Aliases

arxiv: 1612.03732 · arxiv_version: 1612.03732v1 · doi: 10.48550/arxiv.1612.03732 · pith_short_12: GOH2YM6P2XDZ · pith_short_16: GOH2YM6P2XDZZ6D4 · pith_short_8: GOH2YM6P

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/GOH2YM6P2XDZZ6D46IP2CZDBL5 \
  | 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: 338fac33cfd5c79cf87cf21fa164615f77e85a1be3fa267e18679e047f19e493

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "056886ff18037fe2bcc8995cd864a6032029fabfd8c0debf54811548b0762c36",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-12-12T15:08:42Z",
    "title_canon_sha256": "825b2e96f346a3405736f61078855874e003bcf811f42ef66b2e1e701be563cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03732",
    "kind": "arxiv",
    "version": 1
  }
}