Pith Number

pith:HSUGCQOJ

pith:2017:HSUGCQOJWF5U66Y4CI5SWGZPCF

not attested not anchored not stored refs pending

Bubbling solutions for Moser-Trudinger type equations on compact Riemann surfaces

Monica Musso, Pablo Figueroa

arxiv:1709.01106 v1 · 2017-09-04 · 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{HSUGCQOJWF5U66Y4CI5SWGZPCF}

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	2026-05-18T00:36:00.915704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ca86141c9b17b4f7b1c123b2b1b2f117b2853bb34ff7c51de2d3555526da3c1

Aliases

arxiv: 1709.01106 · arxiv_version: 1709.01106v1 · doi: 10.48550/arxiv.1709.01106 · pith_short_12: HSUGCQOJWF5U · pith_short_16: HSUGCQOJWF5U66Y4 · pith_short_8: HSUGCQOJ

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/HSUGCQOJWF5U66Y4CI5SWGZPCF \
  | 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: 3ca86141c9b17b4f7b1c123b2b1b2f117b2853bb34ff7c51de2d3555526da3c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4d87ed0d3ad23c97f23bbbbed4b0e986abdb5ea09c8dcb79b9c8cce64cf88d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-04T18:20:28Z",
    "title_canon_sha256": "ff99e25815ee427073e9c5b293e87e4eaab30ebae63e4b96acd228f211f95e66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01106",
    "kind": "arxiv",
    "version": 1
  }
}