Pith Number

pith:CMG7RGUF

pith:2019:CMG7RGUF2P453KJMSXYD26O362

not attested not anchored not stored refs pending

Generation of singularities from the initial datum for Hamilton-Jacobi equations

Carlo Sinestrari, Paolo Albano, Piermarco Cannarsa

arxiv:1907.00796 v1 · 2019-07-01 · 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{CMG7RGUF2P453KJMSXYD26O362}

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	2026-05-17T23:41:48.069852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

130df89a85d3f9dda92c95f03d79dbf6b2dcf0be17e01f6f5367ae1981db8d34

Aliases

arxiv: 1907.00796 · arxiv_version: 1907.00796v1 · doi: 10.48550/arxiv.1907.00796 · pith_short_12: CMG7RGUF2P45 · pith_short_16: CMG7RGUF2P453KJM · pith_short_8: CMG7RGUF

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/CMG7RGUF2P453KJMSXYD26O362 \
  | 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: 130df89a85d3f9dda92c95f03d79dbf6b2dcf0be17e01f6f5367ae1981db8d34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc2470bf12d8f1a98960237b15ba5618a79fd6cc69d5d8d5043aaf1e047d1cdc",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-01T14:03:24Z",
    "title_canon_sha256": "3f5dc810860b158eafdf3dad18929b17116829ff97cd00841cb880e3b511adf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00796",
    "kind": "arxiv",
    "version": 1
  }
}