Pith Number

pith:5YZLSSCU

pith:2015:5YZLSSCUWMFJ6P3TMCLLQFLIT5

not attested not anchored not stored refs pending

The distance-dependent two-point function of triangulations: a new derivation from old results

Emmanuel Guitter

arxiv:1511.01773 v1 · 2015-11-05 · 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{5YZLSSCUWMFJ6P3TMCLLQFLIT5}

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	2026-05-18T00:30:22.727818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee32b94854b30a9f3f736096b815689f60dcd3bbdf4d27652a18b8ba70fddf0c

Aliases

arxiv: 1511.01773 · arxiv_version: 1511.01773v1 · doi: 10.48550/arxiv.1511.01773 · pith_short_12: 5YZLSSCUWMFJ · pith_short_16: 5YZLSSCUWMFJ6P3T · pith_short_8: 5YZLSSCU

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/5YZLSSCUWMFJ6P3TMCLLQFLIT5 \
  | 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: ee32b94854b30a9f3f736096b815689f60dcd3bbdf4d27652a18b8ba70fddf0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fc836d44b0801246a601ae1ed35b5312765e784888bbe0b75387f81fee674d9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-05T15:10:33Z",
    "title_canon_sha256": "73092a2ae56ba4057d25cb16ac590e038a68a74ae6603daefc43a118c9153ebb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01773",
    "kind": "arxiv",
    "version": 1
  }
}