Pith Number

pith:IGQD6HCK

pith:2025:IGQD6HCKZSIFMUHPG6227XRRN7

not attested not anchored not stored refs pending

Harmonic functions on Tutte embeddings and linearized Monge-Amp\`ere equation

Beno\^it Laslier, Dmitry Chelkak, Marianna Russkikh, Mikhail Basok

arxiv:2511.06587 v3 · 2025-11-10 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IGQD6HCKZSIFMUHPG6227XRRN7}

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	2026-05-20T00:02:07.706899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41a03f1c4acc905650ef37b5afde316fdc23d9e5547c17c6ba2246cbd95f1485

Aliases

arxiv: 2511.06587 · arxiv_version: 2511.06587v3 · doi: 10.48550/arxiv.2511.06587 · pith_short_12: IGQD6HCKZSIF · pith_short_16: IGQD6HCKZSIFMUHP · pith_short_8: IGQD6HCK

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/IGQD6HCKZSIFMUHPG6227XRRN7 \
  | 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: 41a03f1c4acc905650ef37b5afde316fdc23d9e5547c17c6ba2246cbd95f1485

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49f8f52590363de642105675c45bd4fa070e6abda5dcd7b66da8703f72b8ba90",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-11-10T00:26:53Z",
    "title_canon_sha256": "8cdd1276742b32f3265bb7b782c879e452ff28e43d6fd04d0de1fcaf3f9e62fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.06587",
    "kind": "arxiv",
    "version": 3
  }
}