Pith Number

pith:HTN7EWTH

pith:2016:HTN7EWTHCDMSG2IG27XW6NOZTT

not attested not anchored not stored refs pending

A lower bound to the spectral threshold in curved quantum layers

David Krejcirik, Pedro Freitas

arxiv:1602.04990 v1 · 2016-02-16 · math-ph · math.DG · math.MP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HTN7EWTHCDMSG2IG27XW6NOZTT}

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	2026-05-18T00:35:51.872939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cdbf25a6710d9236906d7ef6f35d99ce0c493c4d86b20724f18e02609b9a713

Aliases

arxiv: 1602.04990 · arxiv_version: 1602.04990v1 · doi: 10.48550/arxiv.1602.04990 · pith_short_12: HTN7EWTHCDMS · pith_short_16: HTN7EWTHCDMSG2IG · pith_short_8: HTN7EWTH

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/HTN7EWTHCDMSG2IG27XW6NOZTT \
  | 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: 3cdbf25a6710d9236906d7ef6f35d99ce0c493c4d86b20724f18e02609b9a713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea5bd01d1b4b9ddc7ae5ba2c95e2379f23af76560b06b6a349c412797d5a9c0a",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-02-16T11:27:40Z",
    "title_canon_sha256": "c97bec7766487851ce95d539ecf648e8c3852cd467c53b126c3e31031e6d6b95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04990",
    "kind": "arxiv",
    "version": 1
  }
}