Pith Number

pith:MTCOQMJC

pith:2011:MTCOQMJC7HB2P3RXLUKWLNDIQI

not attested not anchored not stored refs pending

Sharp local estimates for the Szeg\"o-Weinberger profile in Riemannian manifolds

Mouhamed Moustapha Fall, Tobias Weth

arxiv:1110.4770 v3 · 2011-10-21 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTCOQMJC7HB2P3RXLUKWLNDIQI}

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	2026-05-18T03:14:17.749732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64c4e83122f9c3a7ee375d1565b4688215a14175ac534aa5e65e4cb3167a887e

Aliases

arxiv: 1110.4770 · arxiv_version: 1110.4770v3 · doi: 10.48550/arxiv.1110.4770 · pith_short_12: MTCOQMJC7HB2 · pith_short_16: MTCOQMJC7HB2P3RX · pith_short_8: MTCOQMJC

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/MTCOQMJC7HB2P3RXLUKWLNDIQI \
  | 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: 64c4e83122f9c3a7ee375d1565b4688215a14175ac534aa5e65e4cb3167a887e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45821b5e87d6eb551bddaa38886f89bfc74280e911ef778f411e5ec9245aa0a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-10-21T12:14:03Z",
    "title_canon_sha256": "b3ada41417b9892d0662cb90f1d1f99d720d3cb6312da830ff491ed63fe15eea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4770",
    "kind": "arxiv",
    "version": 3
  }
}