Pith Number

pith:KDXTQ3VM

pith:2012:KDXTQ3VMVJJPVEVVQLWHO5BEUG

not attested not anchored not stored refs pending

Aubry sets for weakly coupled systems of Hamilton--Jacobi equations

Andrea Davini, Maxime Zavidovique

arxiv:1211.1245 v2 · 2012-11-06 · 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{KDXTQ3VMVJJPVEVVQLWHO5BEUG}

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	2026-05-18T01:21:05.681278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50ef386eacaa52fa92b582ec777424a1ad8bdca4c5cc1d4ddfb505d6f06de3da

Aliases

arxiv: 1211.1245 · arxiv_version: 1211.1245v2 · doi: 10.48550/arxiv.1211.1245 · pith_short_12: KDXTQ3VMVJJP · pith_short_16: KDXTQ3VMVJJPVEVV · pith_short_8: KDXTQ3VM

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/KDXTQ3VMVJJPVEVVQLWHO5BEUG \
  | 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: 50ef386eacaa52fa92b582ec777424a1ad8bdca4c5cc1d4ddfb505d6f06de3da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "409e78372393202d3f8f1e9e039f0aec2026ec261eebb5e3bfa02169226e83bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-06T14:45:58Z",
    "title_canon_sha256": "b1a6e8b7a4a797a125cc0e391f3d84dfff30182e1ac911ce5e8edc396a1eb1f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1245",
    "kind": "arxiv",
    "version": 2
  }
}