Pith Number

pith:ALVBFF7J

pith:2016:ALVBFF7JDCMZ3BF5RVAYTP5ZEI

not attested not anchored not stored refs pending

On the chain rule formulas for divergences and applications to conservation laws

Graziano Crasta, Virginia De Cicco

arxiv:1605.09005 v1 · 2016-05-29 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALVBFF7JDCMZ3BF5RVAYTP5ZEI}

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	2026-05-17T23:45:21.269343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02ea1297e918999d84bd8d4189bfb9223a797c2d1eb88dc7df774e13301947d6

Aliases

arxiv: 1605.09005 · arxiv_version: 1605.09005v1 · doi: 10.48550/arxiv.1605.09005 · pith_short_12: ALVBFF7JDCMZ · pith_short_16: ALVBFF7JDCMZ3BF5 · pith_short_8: ALVBFF7J

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/ALVBFF7JDCMZ3BF5RVAYTP5ZEI \
  | 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: 02ea1297e918999d84bd8d4189bfb9223a797c2d1eb88dc7df774e13301947d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58867b6b09ca06d250da86f0917cf5bd9c5dec2fc9aa4b8caebb8dc9f81b133f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-29T14:01:53Z",
    "title_canon_sha256": "6534e6e5ee7963df7e11e28de33d1970692f366d2815475561dabf109932eeaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09005",
    "kind": "arxiv",
    "version": 1
  }
}