Pith Number

pith:FXFLWJ7R

pith:2015:FXFLWJ7RFZ6XNXGJCMKBG6MLEJ

not attested not anchored not stored refs pending

Undecidability of the Spectral Gap (short version)

David Perez-Garcia, Michael M. Wolf, Toby Cubitt

arxiv:1502.04135 v3 · 2015-02-13 · quant-ph · cond-mat.other · hep-th · 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{FXFLWJ7RFZ6XNXGJCMKBG6MLEJ}

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	2026-05-18T00:10:19.805100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dcabb27f12e7d76dcc9131413798b2266f4134b4dcbcb12c62161a88d1dc394

Aliases

arxiv: 1502.04135 · arxiv_version: 1502.04135v3 · doi: 10.48550/arxiv.1502.04135 · pith_short_12: FXFLWJ7RFZ6X · pith_short_16: FXFLWJ7RFZ6XNXGJ · pith_short_8: FXFLWJ7R

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/FXFLWJ7RFZ6XNXGJCMKBG6MLEJ \
  | 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: 2dcabb27f12e7d76dcc9131413798b2266f4134b4dcbcb12c62161a88d1dc394

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d40b8d93c36ac42ada0f59b7c6a6b3158a44d4c057f450c53828960b0955a67",
    "cross_cats_sorted": [
      "cond-mat.other",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-02-13T21:28:16Z",
    "title_canon_sha256": "0712e6ee3446c6be1daf7b8126b9f3ce963e1eed7768f155b8b110e7e7ae6db0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04135",
    "kind": "arxiv",
    "version": 3
  }
}