Pith Number

pith:5EEJ4LNA

pith:2015:5EEJ4LNADUPOX5Y5KLH4UMYOTL

not attested not anchored not stored refs pending

A Feynman-Kac formula for differential forms on manifolds with boundary and applications

Levi Lopes de Lima

arxiv:1512.01153 v1 · 2015-12-03 · math.DG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5EEJ4LNADUPOX5Y5KLH4UMYOTL}

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	2026-05-18T00:20:59.978851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9089e2da01d1eebf71d52cfca330e9ac00d7525ce53a24debe8226f6b365b7c

Aliases

arxiv: 1512.01153 · arxiv_version: 1512.01153v1 · doi: 10.48550/arxiv.1512.01153 · pith_short_12: 5EEJ4LNADUPO · pith_short_16: 5EEJ4LNADUPOX5Y5 · pith_short_8: 5EEJ4LNA

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/5EEJ4LNADUPOX5Y5KLH4UMYOTL \
  | 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: e9089e2da01d1eebf71d52cfca330e9ac00d7525ce53a24debe8226f6b365b7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae4b8767a27e9cddfb3137cd59c7e8d17e76717a4cfd7cfedd471045c3fe6098",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-03T16:46:26Z",
    "title_canon_sha256": "249e6e13ef5a829627d68f8377a025548b999b99b32f975e8faf9dac36a52773"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01153",
    "kind": "arxiv",
    "version": 1
  }
}