Pith Number

pith:V45O4RUC

pith:2014:V45O4RUCAKYFXJSWWZUX2JFWAX

not attested not anchored not stored refs pending

Resonances for Thin Barriers on the Circle

Jeffrey Galkowski

arxiv:1410.0340 v5 · 2014-10-01 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V45O4RUCAKYFXJSWWZUX2JFWAX}

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	2026-05-18T00:47:43.388193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af3aee468202b05ba656b6697d24b605fa4c5c255a0d189a6c3a00755a7d638a

Aliases

arxiv: 1410.0340 · arxiv_version: 1410.0340v5 · doi: 10.48550/arxiv.1410.0340 · pith_short_12: V45O4RUCAKYF · pith_short_16: V45O4RUCAKYFXJSW · pith_short_8: V45O4RUC

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/V45O4RUCAKYFXJSWWZUX2JFWAX \
  | 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: af3aee468202b05ba656b6697d24b605fa4c5c255a0d189a6c3a00755a7d638a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae04b70dead179ffa0aa2727220892d3ac899ac249076e90222404cb7a6e84b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-01T19:25:17Z",
    "title_canon_sha256": "c34c51f4216d193083a5b0c88b864e9f624772a7cd2dc10a09309f6684b0d2fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0340",
    "kind": "arxiv",
    "version": 5
  }
}