Pith Number

pith:3RROT45H

pith:2018:3RROT45HRDAHVATRWI5DK6MONR

not attested not anchored not stored refs pending

A sharp upper bound on the spectral gap for graphene quantum dots

Thomas Ourmi\`eres-Bonafos, Vladimir Lotoreichik

arxiv:1812.03029 v3 · 2018-12-07 · math.SP · 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{3RROT45HRDAHVATRWI5DK6MONR}

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	2026-05-17T23:47:19.708384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc62e9f3a788c07a8271b23a35798e6c65bfcd3a758cc5f23874ca8d78fd5e07

Aliases

arxiv: 1812.03029 · arxiv_version: 1812.03029v3 · doi: 10.48550/arxiv.1812.03029 · pith_short_12: 3RROT45HRDAH · pith_short_16: 3RROT45HRDAHVATR · pith_short_8: 3RROT45H

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/3RROT45HRDAHVATRWI5DK6MONR \
  | 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: dc62e9f3a788c07a8271b23a35798e6c65bfcd3a758cc5f23874ca8d78fd5e07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f28412203191afe9db00780e830b10d3d51aca2dbf3e81e490a1296ced23bb5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-12-07T14:06:51Z",
    "title_canon_sha256": "530a057737b3bb5e63d833aba45065ad7722a76fad3fd638b45b201dea9e80b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03029",
    "kind": "arxiv",
    "version": 3
  }
}