Pith Number

pith:DYQDDUZF

pith:2016:DYQDDUZFKOFC2JK2ES76GBPHL7

not attested not anchored not stored refs pending

Lattice Green Functions: the d-dimensional face-centred cubic lattice, d=8, 9, 10, 11, 12

C. Koutschan, J-M. Maillard, N. Zenine, S. Hassani

arxiv:1601.05657 v2 · 2016-01-21 · math-ph · cond-mat.stat-mech · 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{DYQDDUZFKOFC2JK2ES76GBPHL7}

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	2026-05-18T01:11:21.549580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e2031d325538a2d255a24bfe305e75fcf2774371e5770941552f8c12acd54f6

Aliases

arxiv: 1601.05657 · arxiv_version: 1601.05657v2 · doi: 10.48550/arxiv.1601.05657 · pith_short_12: DYQDDUZFKOFC · pith_short_16: DYQDDUZFKOFC2JK2 · pith_short_8: DYQDDUZF

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/DYQDDUZFKOFC2JK2ES76GBPHL7 \
  | 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: 1e2031d325538a2d255a24bfe305e75fcf2774371e5770941552f8c12acd54f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a94756c3d764c00f687819f93b9f0978ccb6dc6c3affa401097fe61c2254e70c",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-01-21T14:36:50Z",
    "title_canon_sha256": "5ca473ca325422d4129fa4827c91f062d919f1e0ca2535d29cfcccd014104971"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05657",
    "kind": "arxiv",
    "version": 2
  }
}