Pith Number

pith:XSPATN63

pith:2013:XSPATN63XMMG2KRYTK266Q3HOM

not attested not anchored not stored refs pending

Weak KAM theorem for Hamilton-Jacobi equations

Jun Yan, Xifeng SU

arxiv:1312.1606 v1 · 2013-12-05 · math.DS · math.AP · 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{XSPATN63XMMG2KRYTK266Q3HOM}

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	2026-05-18T03:05:26.752527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc9e09b7dbbb186d2a389ab5ef4367731d824ddb486b719fe0b2069a2fb1525a

Aliases

arxiv: 1312.1606 · arxiv_version: 1312.1606v1 · doi: 10.48550/arxiv.1312.1606 · pith_short_12: XSPATN63XMMG · pith_short_16: XSPATN63XMMG2KRY · pith_short_8: XSPATN63

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/XSPATN63XMMG2KRYTK266Q3HOM \
  | 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: bc9e09b7dbbb186d2a389ab5ef4367731d824ddb486b719fe0b2069a2fb1525a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22c4b4b1c9bf499027a858322f5b2ab36899c763b779213fdcc8dff38f29360c",
    "cross_cats_sorted": [
      "math.AP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-12-05T16:25:56Z",
    "title_canon_sha256": "93e0642a161e5f9f7be5a8dd4d0128367420dc2468c5ad10fa4106a345ebbfce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1606",
    "kind": "arxiv",
    "version": 1
  }
}