Pith Number

pith:FDR2VX2M

pith:2026:FDR2VX2MGCQTN4ASOEOPQAKGAJ

not attested not anchored not stored refs pending

Field theories for Laplacian Growth

Assaf Shapira, Kay Joerg Wiese, Paolo Pisapia

arxiv:2606.27263 v1 · 2026-06-25 · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FDR2VX2MGCQTN4ASOEOPQAKGAJ}

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	2026-06-26T01:16:16.802853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28e3aadf4c30a136f012711cf801460278e34e503524e60b27b738bf93742f59

Aliases

arxiv: 2606.27263 · arxiv_version: 2606.27263v1 · doi: 10.48550/arxiv.2606.27263 · pith_short_12: FDR2VX2MGCQT · pith_short_16: FDR2VX2MGCQTN4AS · pith_short_8: FDR2VX2M

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/FDR2VX2MGCQTN4ASOEOPQAKGAJ \
  | 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: 28e3aadf4c30a136f012711cf801460278e34e503524e60b27b738bf93742f59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ef06b806ce3c5cbb7b2bdba98eb0847cb17b6cb8fb7f28f1fdff826a83fb61d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-06-25T16:46:55Z",
    "title_canon_sha256": "a377df99490d8ba93e86685447e3d4af2adf1cc78b77c4473cf7b6cee1213177"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27263",
    "kind": "arxiv",
    "version": 1
  }
}