Pith Number

pith:SPJPD767

pith:2015:SPJPD7675OCZZ3IU2FZBIR4A5F

not attested not anchored not stored refs pending

The distance-dependent two-point function of quadrangulations: a new derivation by direct recursion

E. Guitter

arxiv:1512.00179 v1 · 2015-12-01 · math.CO · 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{SPJPD7675OCZZ3IU2FZBIR4A5F}

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	2026-05-18T00:30:22.707762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93d2f1ffdfeb859ced14d172144780e94f0d810d803a1ac21b0b71e1b53063cd

Aliases

arxiv: 1512.00179 · arxiv_version: 1512.00179v1 · doi: 10.48550/arxiv.1512.00179 · pith_short_12: SPJPD7675OCZ · pith_short_16: SPJPD7675OCZZ3IU · pith_short_8: SPJPD767

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/SPJPD7675OCZZ3IU2FZBIR4A5F \
  | 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: 93d2f1ffdfeb859ced14d172144780e94f0d810d803a1ac21b0b71e1b53063cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1006a387b2d61b9128a61a8db6cd965710984a11b2bc02bdc2854099c3687496",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-01T09:03:44Z",
    "title_canon_sha256": "c25ed19b53694400bfe67891ecfdec66cc7e41f21f4376fbe86921c8ba1a4287"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00179",
    "kind": "arxiv",
    "version": 1
  }
}