Pith Number

pith:7CTAPYX7

pith:2018:7CTAPYX7ULNT5S2SIRKIYUWJH2

not attested not anchored not stored refs pending

Glueing a peak to a non-zero limiting profile for a critical Moser-Trudinger equation

Gabriele Mancini, Pierre-Damien Thizy

arxiv:1807.10098 v1 · 2018-07-26 · 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{7CTAPYX7ULNT5S2SIRKIYUWJH2}

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	2026-05-18T00:09:45.425188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8a607e2ffa2db3ecb5244548c52c93eb321fa189eb3f75ee2ad75ba08779346

Aliases

arxiv: 1807.10098 · arxiv_version: 1807.10098v1 · doi: 10.48550/arxiv.1807.10098 · pith_short_12: 7CTAPYX7ULNT · pith_short_16: 7CTAPYX7ULNT5S2S · pith_short_8: 7CTAPYX7

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/7CTAPYX7ULNT5S2SIRKIYUWJH2 \
  | 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: f8a607e2ffa2db3ecb5244548c52c93eb321fa189eb3f75ee2ad75ba08779346

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afdde650361917228d3f7a7bbdc0273eaeab26ec520766fbbb0dda40711c04a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-26T12:49:28Z",
    "title_canon_sha256": "5a998fe2b135f6fbda22725742ee04d6ef1f5147791e928240f33910b9293b77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10098",
    "kind": "arxiv",
    "version": 1
  }
}