Pith Number

pith:D3ZVNG72

pith:2005:D3ZVNG72YHIJKVXNX5ME4CVU4X

not attested not anchored not stored refs pending

Contractive metrics for scalar conservation laws

F. Bolley, G. Loeper, Y. Brenier

arxiv:math/0504136 v1 · 2005-04-07 · 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{D3ZVNG72YHIJKVXNX5ME4CVU4X}

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	2026-05-18T03:12:58.392177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ef3569bfac1d09556edbf584e0ab4e5d69c376f66772516d74b5c728c4cce97

Aliases

arxiv: math/0504136 · arxiv_version: math/0504136v1 · doi: 10.48550/arxiv.math/0504136 · pith_short_12: D3ZVNG72YHIJ · pith_short_16: D3ZVNG72YHIJKVXN · pith_short_8: D3ZVNG72

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/D3ZVNG72YHIJKVXNX5ME4CVU4X \
  | 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: 1ef3569bfac1d09556edbf584e0ab4e5d69c376f66772516d74b5c728c4cce97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a7171a69a5594dea26593a950b86074d163ea86399d21ca2232ffc64ea75465",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2005-04-07T12:27:55Z",
    "title_canon_sha256": "cf3e975d3fef73077e6ed9a7760cad4c8d1b52c9e47836e877b23055f2bd773a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504136",
    "kind": "arxiv",
    "version": 1
  }
}