Pith Number

pith:M3HCWQNN

pith:2015:M3HCWQNNFTDJRXD2NAJ4Y5IBC6

not attested not anchored not stored refs pending

Asymptotic lower bound for the gap of Hermitian matrices having ergodic ground states and infinitesimal off-diagonal elements

C. Presilla, M. Ostilli

arxiv:1512.08271 v1 · 2015-12-27 · math-ph · cond-mat.dis-nn · cond-mat.stat-mech · 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{M3HCWQNNFTDJRXD2NAJ4Y5IBC6}

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	2026-05-18T01:03:36.718781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66ce2b41ad2cc698dc7a6813cc7501178b7b92c94af18e18a141dd07c32b4d7b

Aliases

arxiv: 1512.08271 · arxiv_version: 1512.08271v1 · doi: 10.48550/arxiv.1512.08271 · pith_short_12: M3HCWQNNFTDJ · pith_short_16: M3HCWQNNFTDJRXD2 · pith_short_8: M3HCWQNN

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/M3HCWQNNFTDJRXD2NAJ4Y5IBC6 \
  | 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: 66ce2b41ad2cc698dc7a6813cc7501178b7b92c94af18e18a141dd07c32b4d7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e63ce1c0a41959ccdb7d398e3c683cd2e4af6ade8dec039e2e1f80e833c8936",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-27T20:14:51Z",
    "title_canon_sha256": "cdc28fa6094a8b8358319565d6c5730a5e8755a240ce4d999206748cd9720649"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08271",
    "kind": "arxiv",
    "version": 1
  }
}