Pith Number

pith:43Q5IKDG

pith:2018:43Q5IKDGG7TWGCXM43GQLACMZ6

not attested not anchored not stored refs pending

Existence and Uniqueness of Solutions for Coupled Hybrid Systems of Differential Equations

Marco Papi, Marta Menci

arxiv:1807.03025 v1 · 2018-07-09 · 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{43Q5IKDGG7TWGCXM43GQLACMZ6}

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	2026-05-18T00:11:13.094030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6e1d4286637e7630aece6cd05804ccf99760541354eed2b585371a9a08cd605

Aliases

arxiv: 1807.03025 · arxiv_version: 1807.03025v1 · doi: 10.48550/arxiv.1807.03025 · pith_short_12: 43Q5IKDGG7TW · pith_short_16: 43Q5IKDGG7TWGCXM · pith_short_8: 43Q5IKDG

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/43Q5IKDGG7TWGCXM43GQLACMZ6 \
  | 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: e6e1d4286637e7630aece6cd05804ccf99760541354eed2b585371a9a08cd605

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79e815efc22b0bc1b7fd1ea5e9bb8de56012b49fa943448bf92c65b71abb23ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-09T10:18:07Z",
    "title_canon_sha256": "572b3e5edbcaf5f4cf42f05c5f16803a15e2e1fcd9a454424660aac1f9c91282"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03025",
    "kind": "arxiv",
    "version": 1
  }
}