Pith Number

pith:CVQGQZNB

pith:2011:CVQGQZNBZI5UZKJANY3J2NSDRV

not attested not anchored not stored refs pending

On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions

Jingang Xiong, Tianling Jin, Yanyan Li

arxiv:1111.1332 v1 · 2011-11-05 · 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{CVQGQZNBZI5UZKJANY3J2NSDRV}

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	2026-05-18T02:33:01.658776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15606865a1ca3b4ca9206e369d36438d534a435f3757479db5fdb2c4e3e0b054

Aliases

arxiv: 1111.1332 · arxiv_version: 1111.1332v1 · doi: 10.48550/arxiv.1111.1332 · pith_short_12: CVQGQZNBZI5U · pith_short_16: CVQGQZNBZI5UZKJA · pith_short_8: CVQGQZNB

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/CVQGQZNBZI5UZKJANY3J2NSDRV \
  | 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: 15606865a1ca3b4ca9206e369d36438d534a435f3757479db5fdb2c4e3e0b054

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef59b85162225968499f9a3e2d8ea6285081e222b5f2ae6eccb6887719828bb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-05T17:17:51Z",
    "title_canon_sha256": "2ff849923d7f89f14b1132b3c5a86e4c21c5001d370b8f94e736a0530ef118ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1332",
    "kind": "arxiv",
    "version": 1
  }
}