Pith Number

pith:4KXMX5GS

pith:2018:4KXMX5GSXEFSW7BBPW3Z4BVNIF

not attested not anchored not stored refs pending

Cauchy Fluxes and Gauss-Green Formulas for Divergence-Measure Fields over General Open Sets

Giovanni E. Comi, Gui-Qiang G. Chen, Monica Torres

arxiv:1809.01248 v3 · 2018-09-04 · math.AP · math.CA · 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{4KXMX5GSXEFSW7BBPW3Z4BVNIF}

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	2026-05-17T23:56:03.828565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2aecbf4d2b90b2b7c217db79e06ad41651f3f103c03499ed387198d2841602f

Aliases

arxiv: 1809.01248 · arxiv_version: 1809.01248v3 · doi: 10.48550/arxiv.1809.01248 · pith_short_12: 4KXMX5GSXEFS · pith_short_16: 4KXMX5GSXEFSW7BB · pith_short_8: 4KXMX5GS

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/4KXMX5GSXEFSW7BBPW3Z4BVNIF \
  | 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: e2aecbf4d2b90b2b7c217db79e06ad41651f3f103c03499ed387198d2841602f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c5f2c8d8db732df7f7e227e63f1f5071e61102151fcaae5187cfd45431fe694",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-04T21:30:25Z",
    "title_canon_sha256": "c85d9e67b474f7d5377d372ac42fdc6d6a223f4c06fef8fcc999c68dd05bc331"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01248",
    "kind": "arxiv",
    "version": 3
  }
}