Pith Number

pith:EULMJ3WM

pith:2012:EULMJ3WMSLETJTNYD4TCDLY5OR

not attested not anchored not stored refs pending

On dynamics of Lagrangian trajectories for Hamilton-Jacobi equations

Andrei Sobolevski, Konstantin Khanin

arxiv:1211.7084 v3 · 2012-11-29 · math.AP · math-ph · math.MP · 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{EULMJ3WMSLETJTNYD4TCDLY5OR}

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	2026-05-18T01:35:12.641564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2516c4eecc92c934cdb81f2621af1d7462628811fb7d9326963440fe8add756b

Aliases

arxiv: 1211.7084 · arxiv_version: 1211.7084v3 · doi: 10.48550/arxiv.1211.7084 · pith_short_12: EULMJ3WMSLET · pith_short_16: EULMJ3WMSLETJTNY · pith_short_8: EULMJ3WM

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/EULMJ3WMSLETJTNYD4TCDLY5OR \
  | 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: 2516c4eecc92c934cdb81f2621af1d7462628811fb7d9326963440fe8add756b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f6e6a6fbe0e5492427303a3f2b25b31a61c42faa33d177665e626f8edf259a5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-29T21:12:13Z",
    "title_canon_sha256": "3869eb74851e64812871ca030d1a2302e2107733f341fde7806e1e52d73da743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7084",
    "kind": "arxiv",
    "version": 3
  }
}