Pith Number

pith:BTC6EYVM

pith:2021:BTC6EYVM2LXYERHCGG6WJ6D722

not attested not anchored not stored refs pending

Viscosity subsoltions of Hamilton-Jacobi equations and Invariant sets of contact Hamilton systems

Jun Yan, Kai Zhao, Xiang Shu

arxiv:2105.10906 v1 · 2021-05-23 · math.DS · 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{BTC6EYVM2LXYERHCGG6WJ6D722}

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	2026-07-05T05:07:33.346558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cc5e262acd2ef8244e231bd64f87fd6ab73963049a610e735a454519061a824

Aliases

arxiv: 2105.10906 · arxiv_version: 2105.10906v1 · doi: 10.48550/arxiv.2105.10906 · pith_short_12: BTC6EYVM2LXY · pith_short_16: BTC6EYVM2LXYERHC · pith_short_8: BTC6EYVM

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/BTC6EYVM2LXYERHCGG6WJ6D722 \
  | 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: 0cc5e262acd2ef8244e231bd64f87fd6ab73963049a610e735a454519061a824

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b32a818983e454d65ccc045906cdb1c1632f02c2a0c976bb456b9891a045c9ae",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2021-05-23T10:33:09Z",
    "title_canon_sha256": "6373ab4883337cb5fdfbec4922e5af392ff37c0890d581491de180c45a064b97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.10906",
    "kind": "arxiv",
    "version": 1
  }
}