Pith Number

pith:MHL3RTYC

pith:2014:MHL3RTYCJHPTBIVGPDVKFPNUVH

not attested not anchored not stored refs pending

Exotic open $4$-manifolds which are non-leaves

Carlos Meni\~no Cot\'on, Paul A. Schweitzer

arxiv:1410.8182 v7 · 2014-10-29 · 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{MHL3RTYCJHPTBIVGPDVKFPNUVH}

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	2026-05-18T00:13:33.021444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61d7b8cf0249df30a2a678eaa2bdb4a9ffc53bef2fac07a5f306b1a1f4bf28af

Aliases

arxiv: 1410.8182 · arxiv_version: 1410.8182v7 · doi: 10.48550/arxiv.1410.8182 · pith_short_12: MHL3RTYCJHPT · pith_short_16: MHL3RTYCJHPTBIVG · pith_short_8: MHL3RTYC

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/MHL3RTYCJHPTBIVGPDVKFPNUVH \
  | 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: 61d7b8cf0249df30a2a678eaa2bdb4a9ffc53bef2fac07a5f306b1a1f4bf28af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f240aadf8ff3c4d4110ccbc5f01cbe15f76e4d012ac0046e8d4f45ea2cf2312",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-10-29T22:35:54Z",
    "title_canon_sha256": "cf03dde85460e5513b36d4f57a0753bb08458f5fe6f486bd3370089ba41562f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8182",
    "kind": "arxiv",
    "version": 7
  }
}