Pith Number

pith:JJGGVV6K

pith:2012:JJGGVV6KMPBWDOMRFDRMWOPPRV

not attested not anchored not stored refs pending

General Cauchy-Lipschitz theory for shifted and non shifted Delta-Cauchy problems on time scales

Emmanuel Tr\'elat (LJLL), Lo\"ic Bourdin (LMAP)

arxiv:1212.5042 v1 · 2012-12-20 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJGGVV6KMPBWDOMRFDRMWOPPRV}

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	2026-05-18T03:38:04.050308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a4c6ad7ca63c361b99128e2cb39ef8d44976103be0a82f35f7f0fbe7a0f7f08

Aliases

arxiv: 1212.5042 · arxiv_version: 1212.5042v1 · doi: 10.48550/arxiv.1212.5042 · pith_short_12: JJGGVV6KMPBW · pith_short_16: JJGGVV6KMPBWDOMR · pith_short_8: JJGGVV6K

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/JJGGVV6KMPBWDOMRFDRMWOPPRV \
  | 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: 4a4c6ad7ca63c361b99128e2cb39ef8d44976103be0a82f35f7f0fbe7a0f7f08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7358d695cd87efa986039081e618f94fc4015d5519c765b65b06bd33231eecd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-12-20T14:04:56Z",
    "title_canon_sha256": "bf6db1065a3cfad16c14558c945301be1269bf317862c78c0da3bffb07f0c385"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5042",
    "kind": "arxiv",
    "version": 1
  }
}