Pith Number

pith:SP7VMPCQ

pith:2017:SP7VMPCQAJKL3FN4LZ5KAZTL6N

not attested not anchored not stored refs pending

A Riemann solver at a junction compatible with a homogenization limit

Francesca Marcellini, Mauro Garavello

arxiv:1712.07677 v1 · 2017-12-20 · 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{SP7VMPCQAJKL3FN4LZ5KAZTL6N}

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	2026-05-18T00:27:31.246861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93ff563c500254bd95bc5e7aa0666bf34cbb7419b7ff633b9aad8f00b3fd8f7d

Aliases

arxiv: 1712.07677 · arxiv_version: 1712.07677v1 · doi: 10.48550/arxiv.1712.07677 · pith_short_12: SP7VMPCQAJKL · pith_short_16: SP7VMPCQAJKL3FN4 · pith_short_8: SP7VMPCQ

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/SP7VMPCQAJKL3FN4LZ5KAZTL6N \
  | 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: 93ff563c500254bd95bc5e7aa0666bf34cbb7419b7ff633b9aad8f00b3fd8f7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "080ba38c0717adb6f48bcb06b14b83bb1bec1a50c35710bc6adcb3028392b214",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-20T19:16:47Z",
    "title_canon_sha256": "b08e0fca2fa9a5a81e70af6c75cf7cc4acd19944819e4f212a038ba8b9164e90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07677",
    "kind": "arxiv",
    "version": 1
  }
}