Pith Number

pith:I2ZDP6QC

pith:2023:I2ZDP6QC5Z6IMIVXB3DYNPIWLQ

not attested not anchored not stored refs pending

Generalized Monge-Amp\`ere functionals and related variational problems

Freid Tong, Shing-Tung Yau

arxiv:2306.01636 v1 · 2023-06-02 · 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{I2ZDP6QC5Z6IMIVXB3DYNPIWLQ}

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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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T06:16:56.335374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46b237fa02ee7c8622b70ec786bd165c3c6837eb74cbea4b4ae707512056fc44

Aliases

arxiv: 2306.01636 · arxiv_version: 2306.01636v1 · doi: 10.48550/arxiv.2306.01636 · pith_short_12: I2ZDP6QC5Z6I · pith_short_16: I2ZDP6QC5Z6IMIVX · pith_short_8: I2ZDP6QC

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/I2ZDP6QC5Z6IMIVXB3DYNPIWLQ \
  | 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: 46b237fa02ee7c8622b70ec786bd165c3c6837eb74cbea4b4ae707512056fc44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e732168c2d20771048a2eb93d449cd111681498fef299831bf228dc3c0a26519",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-06-02T15:54:11Z",
    "title_canon_sha256": "98cbcc69a0aee67999453121452b57d4212e49e64ea81d0ab98eacded31b6837"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.01636",
    "kind": "arxiv",
    "version": 1
  }
}