Pith Number

pith:ATFEMDXU

pith:2024:ATFEMDXUETZ3AZFDPKNXZQWG7H

not attested not anchored not stored refs pending

Wall-chamber decompositions for generalised Monge-Amp\`ere equations

Sohaib Khalid, Zakarias Sj\"ostr\"om Dyrefelt

arxiv:2412.20089 v2 · 2024-12-28 · math.DG · math.AG · 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{ATFEMDXUETZ3AZFDPKNXZQWG7H}

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	2026-06-05T01:15:12.554111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04ca460ef424f3b064a37a9b7cc2c6f9fc98a1b60c0e0ce69714eaa07667a713

Aliases

arxiv: 2412.20089 · arxiv_version: 2412.20089v2 · doi: 10.48550/arxiv.2412.20089 · pith_short_12: ATFEMDXUETZ3 · pith_short_16: ATFEMDXUETZ3AZFD · pith_short_8: ATFEMDXU

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/ATFEMDXUETZ3AZFDPKNXZQWG7H \
  | 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: 04ca460ef424f3b064a37a9b7cc2c6f9fc98a1b60c0e0ce69714eaa07667a713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1f924bbda5c324cec2a76eb6fdde402503c6241bd801da4144b9813fae827fa",
    "cross_cats_sorted": [
      "math.AG",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-12-28T09:15:53Z",
    "title_canon_sha256": "28982fa770032e6bec44764ce21d34f02235dd084589382028de569ac6b775f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20089",
    "kind": "arxiv",
    "version": 2
  }
}