Pith Number

pith:TWFHM6OU

pith:2017:TWFHM6OUIOHDQWQENET37EQMPF

not attested not anchored not stored refs pending

Eigenfunction scarring and improvements in $L^{\infty}$ bounds

Jeffrey Galkowski, John A. Toth

arxiv:1703.10248 v2 · 2017-03-29 · math.AP · math.CA · 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{TWFHM6OUIOHDQWQENET37EQMPF}

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	2026-05-18T00:20:56.561608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d8a7679d4438e385a046927bf920c795cd14c5188df2c84fb1d645be2c8a428

Aliases

arxiv: 1703.10248 · arxiv_version: 1703.10248v2 · doi: 10.48550/arxiv.1703.10248 · pith_short_12: TWFHM6OUIOHD · pith_short_16: TWFHM6OUIOHDQWQE · pith_short_8: TWFHM6OU

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/TWFHM6OUIOHDQWQENET37EQMPF \
  | 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: 9d8a7679d4438e385a046927bf920c795cd14c5188df2c84fb1d645be2c8a428

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51b6ce6d6b705aba124c2ef3b2c55e470a7ef096c650ce85cd006ecf581d0776",
    "cross_cats_sorted": [
      "math.CA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-29T21:25:29Z",
    "title_canon_sha256": "5a0bbe7e24c7335055ee7d12468523e1f31885c42b2533262cc69c67338d040f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10248",
    "kind": "arxiv",
    "version": 2
  }
}