Pith Number

pith:HLMRSMH3

pith:2016:HLMRSMH3T65VSOPL3UGVAHEWWE

not attested not anchored not stored refs pending

Model and Set-Theoretic Aspects of Exotic Smoothness Structures on $\mathbb{R}^4$

Jerzy Kr\'ol

arxiv:1602.02667 v1 · 2016-02-08 · math-ph · hep-th · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HLMRSMH3T65VSOPL3UGVAHEWWE}

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	2026-05-18T01:21:09.218276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ad91930fb9fbb5939ebdd0d501c96b11569a04214cab4f6cd9673ab410c4b57

Aliases

arxiv: 1602.02667 · arxiv_version: 1602.02667v1 · doi: 10.48550/arxiv.1602.02667 · pith_short_12: HLMRSMH3T65V · pith_short_16: HLMRSMH3T65VSOPL · pith_short_8: HLMRSMH3

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/HLMRSMH3T65VSOPL3UGVAHEWWE \
  | 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: 3ad91930fb9fbb5939ebdd0d501c96b11569a04214cab4f6cd9673ab410c4b57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81be33faa0df8325256ea3e941171b394adb3ecd8e4d4eb27bde5e15630f4b50",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-02-08T17:47:34Z",
    "title_canon_sha256": "8913408244f2580e2dc365e9ad34768f73c31317865d2bdc9ecaf3938ebd48de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02667",
    "kind": "arxiv",
    "version": 1
  }
}