Pith Number

pith:R22A76JX

pith:2025:R22A76JXTHV7W7U7NFANT5REDC

not attested not anchored not stored refs pending

On a general class of free boundary Monge-Amp\`ere equations

Benjy Firester, Tristan C. Collins

arxiv:2508.05551 v1 · 2025-08-07 · math.AP · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R22A76JXTHV7W7U7NFANT5REDC}

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	2026-07-05T11:50:15.338348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eb40ff93799ebfb7e9f6940d9f62418bc492b5c3271585d7f69a74550151ed5

Aliases

arxiv: 2508.05551 · arxiv_version: 2508.05551v1 · doi: 10.48550/arxiv.2508.05551 · pith_short_12: R22A76JXTHV7 · pith_short_16: R22A76JXTHV7W7U7 · pith_short_8: R22A76JX

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/R22A76JXTHV7W7U7NFANT5REDC \
  | 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: 8eb40ff93799ebfb7e9f6940d9f62418bc492b5c3271585d7f69a74550151ed5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "893f74e38e81b32c6c5f04618a165702f3f45eb1c633b81022c1cfcf39f5610b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-08-07T16:32:40Z",
    "title_canon_sha256": "0b6aef06a1834ae5c055eef94377304de1c0b03d71e4d29435ead2237373446e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.05551",
    "kind": "arxiv",
    "version": 1
  }
}