Pith Number

pith:QFJ6ARWM

pith:2016:QFJ6ARWMH6VX5CM4ZNGKIDQGCI

not attested not anchored not stored refs pending

On Witten Laplacians and Brascamp-Lieb's inequality on manifolds with boundary

Dorian Le Peutrec (LM-Orsay, MATHERIALS)

arxiv:1607.08714 v2 · 2016-07-29 · math.SP · math.AP · math.DG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QFJ6ARWMH6VX5CM4ZNGKIDQGCI}

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	2026-05-18T00:50:12.437225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8153e046cc3fab7e899ccb4ca40e061228e157e9f97a94beb5ca6766f85b5de3

Aliases

arxiv: 1607.08714 · arxiv_version: 1607.08714v2 · doi: 10.48550/arxiv.1607.08714 · pith_short_12: QFJ6ARWMH6VX · pith_short_16: QFJ6ARWMH6VX5CM4 · pith_short_8: QFJ6ARWM

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/QFJ6ARWMH6VX5CM4ZNGKIDQGCI \
  | 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: 8153e046cc3fab7e899ccb4ca40e061228e157e9f97a94beb5ca6766f85b5de3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bf224a9b1be4d514be646d0dbac0f56c6e21c199b412a03ef60d98d1e218123",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-07-29T07:47:25Z",
    "title_canon_sha256": "8d1e22c735533ed0dd71d1f500161f76a3bff4b14908aea7662c4e0b4f50b889"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08714",
    "kind": "arxiv",
    "version": 2
  }
}