Pith Number

pith:NOFKGOAA

pith:2015:NOFKGOAA2C6THNUVHDZ3YKCEAJ

not attested not anchored not stored refs pending

Spectral Gap and Edge Excitations of $d$-dimensional PVBS models on half-spaces

Amanda Young, Bruno Nachtergaele, Michael Bishop

arxiv:1509.07550 v1 · 2015-09-24 · 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{NOFKGOAA2C6THNUVHDZ3YKCEAJ}

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	2026-05-18T01:07:58.455886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b8aa33800d0bd33b69538f3bc28440273f07b2be97c124ee0b10ee95fae9676

Aliases

arxiv: 1509.07550 · arxiv_version: 1509.07550v1 · doi: 10.48550/arxiv.1509.07550 · pith_short_12: NOFKGOAA2C6T · pith_short_16: NOFKGOAA2C6THNUV · pith_short_8: NOFKGOAA

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/NOFKGOAA2C6THNUVHDZ3YKCEAJ \
  | 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: 6b8aa33800d0bd33b69538f3bc28440273f07b2be97c124ee0b10ee95fae9676

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d6dc34c160faa419938a78d47fb420b17aa8360f31dc65b62cf9b44b85df5fa",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-24T22:08:33Z",
    "title_canon_sha256": "d4e43d4c0cfad6a797e5111e0ee871217bd5c6972e6f5087f00f775f8e282beb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07550",
    "kind": "arxiv",
    "version": 1
  }
}