Pith Number

pith:YDP7J7DR

pith:2015:YDP7J7DR2IY2WXNAJSIWD24KKK

not attested not anchored not stored refs pending

Anomalous nodal count and singularities in the dispersion relation of honeycomb graphs

Gregory Berkolaiko, Ram Band, Tracy Weyand

arxiv:1503.07245 v2 · 2015-03-25 · 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{YDP7J7DR2IY2WXNAJSIWD24KKK}

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	2026-05-18T01:18:23.453070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0dff4fc71d231ab5da04c9161eb8a52acaaa6ed7c2c9bc941f7230e8c4aaa8d

Aliases

arxiv: 1503.07245 · arxiv_version: 1503.07245v2 · doi: 10.48550/arxiv.1503.07245 · pith_short_12: YDP7J7DR2IY2 · pith_short_16: YDP7J7DR2IY2WXNA · pith_short_8: YDP7J7DR

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/YDP7J7DR2IY2WXNAJSIWD24KKK \
  | 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: c0dff4fc71d231ab5da04c9161eb8a52acaaa6ed7c2c9bc941f7230e8c4aaa8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "775775e4a110567e5348691ff43cedd1ec2d13829febb965ec539d541fdd72cd",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-03-25T00:40:57Z",
    "title_canon_sha256": "6b41dba63c4ce2c31b0e6ec3e500352cf8b012899186c81ca49ee7c92622162a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07245",
    "kind": "arxiv",
    "version": 2
  }
}