Pith Number

pith:5PX5XUAH

pith:2018:5PX5XUAHDSMYYBLRBTPKRTHNF2

not attested not anchored not stored refs pending

Zero range interactions in d=3 and d=2 revisited

Gianfausto Dell'Antonio

arxiv:1806.08691 v1 · 2018-06-22 · 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{5PX5XUAHDSMYYBLRBTPKRTHNF2}

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	2026-05-18T00:12:36.440155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebefdbd0071c998c05710cdea8cced2eac58440241a59983d696e7d3ebcf9872

Aliases

arxiv: 1806.08691 · arxiv_version: 1806.08691v1 · doi: 10.48550/arxiv.1806.08691 · pith_short_12: 5PX5XUAHDSMY · pith_short_16: 5PX5XUAHDSMYYBLR · pith_short_8: 5PX5XUAH

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/5PX5XUAHDSMYYBLRBTPKRTHNF2 \
  | 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: ebefdbd0071c998c05710cdea8cced2eac58440241a59983d696e7d3ebcf9872

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc5eec3ccc2e6e17ff329cd3f6aa1e18fddb1f3163e6b480c11f3c0b9bb5d4c1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-06-22T14:26:21Z",
    "title_canon_sha256": "6f7a439a90c7d61e8585bddc43a8b691786661ad391014b65476262a7f26b570"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08691",
    "kind": "arxiv",
    "version": 1
  }
}