Pith Number

pith:E5UNEDZ7

pith:2013:E5UNEDZ7MUMA7LCVSFXLM27EJE

not attested not anchored not stored refs pending

On a fractional Nirenberg problem, part II: existence of solutions

Jingang Xiong, Tianling Jin, Yanyan Li

arxiv:1309.4666 v1 · 2013-09-18 · 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{E5UNEDZ7MUMA7LCVSFXLM27EJE}

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	2026-05-18T01:56:00.087407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2768d20f3f65180fac55916eb66be4493d87f4df8339a2dc47d07495c440e614

Aliases

arxiv: 1309.4666 · arxiv_version: 1309.4666v1 · doi: 10.48550/arxiv.1309.4666 · pith_short_12: E5UNEDZ7MUMA · pith_short_16: E5UNEDZ7MUMA7LCV · pith_short_8: E5UNEDZ7

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/E5UNEDZ7MUMA7LCVSFXLM27EJE \
  | 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: 2768d20f3f65180fac55916eb66be4493d87f4df8339a2dc47d07495c440e614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "378b722793ad3d4e670ec3c4d82db7229b5dff3f8c4943e51a6c4a49d2032179",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-18T14:51:34Z",
    "title_canon_sha256": "94e1884a9a8127d0139d8093db97aac36e7f35f4ecaf8fade388b807c5c802d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4666",
    "kind": "arxiv",
    "version": 1
  }
}