Pith Number

pith:KCALJZOU

pith:2015:KCALJZOUWKD5W2ZRD2MODPLNCD

not attested not anchored not stored refs pending

Advection-diffusion equations with density constraints

Alp\'ar Rich\'ard M\'esz\'aros, Filippo Santambrogio

arxiv:1503.02311 v2 · 2015-03-08 · 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{KCALJZOUWKD5W2ZRD2MODPLNCD}

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	2026-05-18T01:19:44.582069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5080b4e5d4b287db6b311e98e1bd6d10ee759dbac3d30d127123988a2db5b263

Aliases

arxiv: 1503.02311 · arxiv_version: 1503.02311v2 · doi: 10.48550/arxiv.1503.02311 · pith_short_12: KCALJZOUWKD5 · pith_short_16: KCALJZOUWKD5W2ZR · pith_short_8: KCALJZOU

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/KCALJZOUWKD5W2ZRD2MODPLNCD \
  | 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: 5080b4e5d4b287db6b311e98e1bd6d10ee759dbac3d30d127123988a2db5b263

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd3fb5e5ed809d43bc5fd722a347c24476726d29ba0c5bdc4d67012c9f41e262",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-08T19:15:32Z",
    "title_canon_sha256": "667768549c83a506c210e4d349008e469230ffbef7f996fb17eb90f770675714"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02311",
    "kind": "arxiv",
    "version": 2
  }
}