Pith Number

pith:WMH5HY5D

pith:2009:WMH5HY5D4KYBBQJWJ522LWYULU

not attested not anchored not stored refs pending

Adjoint methods for static Hamilton-Jacobi equations

Hung Vinh Tran

arxiv:0904.3094 v3 · 2009-04-20 · 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{WMH5HY5D4KYBBQJWJ522LWYULU}

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	2026-05-18T04:05:28.113365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b30fd3e3a3e2b010c1364f75a5db145d3ecacaba5bf2e631a3086917b94d5aed

Aliases

arxiv: 0904.3094 · arxiv_version: 0904.3094v3 · doi: 10.48550/arxiv.0904.3094 · pith_short_12: WMH5HY5D4KYB · pith_short_16: WMH5HY5D4KYBBQJW · pith_short_8: WMH5HY5D

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/WMH5HY5D4KYBBQJWJ522LWYULU \
  | 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: b30fd3e3a3e2b010c1364f75a5db145d3ecacaba5bf2e631a3086917b94d5aed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e62cfdb8efa48fc738f7bde45b819f844ae2605cae490cddfd7f41969ec7327",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-04-20T23:14:06Z",
    "title_canon_sha256": "2006a97f17d1324797977ed86910f90c19bd736763d3ae01585995f093d97539"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.3094",
    "kind": "arxiv",
    "version": 3
  }
}