Pith Number

pith:SYM5OYH3

pith:2025:SYM5OYH3PKHQWSTEQ35QZWTRFU

not attested not anchored not stored refs pending

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem

Jingang Xiong, Tianling Jin, Xushan Tu

arxiv:2506.08387 v1 · 2025-06-10 · 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{SYM5OYH3PKHQWSTEQ35QZWTRFU}

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	2026-07-05T11:18:48.824832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9619d760fb7a8f0b4a6486fb0cda712d01067f7d4d71478cf2b4690320dc7e8c

Aliases

arxiv: 2506.08387 · arxiv_version: 2506.08387v1 · doi: 10.48550/arxiv.2506.08387 · pith_short_12: SYM5OYH3PKHQ · pith_short_16: SYM5OYH3PKHQWSTE · pith_short_8: SYM5OYH3

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/SYM5OYH3PKHQWSTEQ35QZWTRFU \
  | 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: 9619d760fb7a8f0b4a6486fb0cda712d01067f7d4d71478cf2b4690320dc7e8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf867c1986c52651d0976fd56f72ba0dcbd901e2d2ff960502c74bb44e2ee0ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-10T02:53:20Z",
    "title_canon_sha256": "109530b445ca3b5abe50e268fe695ba90b58dbdbb775fcc95fab65ee1977b0f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08387",
    "kind": "arxiv",
    "version": 1
  }
}