Pith Number

pith:42LOVEQS

pith:2015:42LOVEQS4UBH24PNBHDSQCOY5Y

not attested not anchored not stored refs pending

Convolution of valuations on manifolds

Andreas Bernig, Semyon Alesker

arxiv:1507.04851 v1 · 2015-07-17 · 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{42LOVEQS4UBH24PNBHDSQCOY5Y}

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	2026-05-18T00:25:02.428622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e696ea9212e5027d71ed09c72809d8ee0900cb3811a19f6b54ae58c87b2b4181

Aliases

arxiv: 1507.04851 · arxiv_version: 1507.04851v1 · doi: 10.48550/arxiv.1507.04851 · pith_short_12: 42LOVEQS4UBH · pith_short_16: 42LOVEQS4UBH24PN · pith_short_8: 42LOVEQS

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/42LOVEQS4UBH24PNBHDSQCOY5Y \
  | 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: e696ea9212e5027d71ed09c72809d8ee0900cb3811a19f6b54ae58c87b2b4181

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "504a1030d49047743c61b53865c0d6eea077a5fdd6cb38e2ad7ea5b26f76425e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-07-17T07:19:59Z",
    "title_canon_sha256": "23d5795f5d887e4c58102ac0c879975f30f1bb35255e8ab5f9bb7b82429ee9c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04851",
    "kind": "arxiv",
    "version": 1
  }
}