Pith Number

pith:ALXAEM5K

pith:2014:ALXAEM5KBBASIOSMX4JXX3LWJW

not attested not anchored not stored refs pending

The Nirenberg problem and its generalizations: A unified approach

Jingang Xiong, Tianling Jin, Yanyan Li

arxiv:1411.5743 v1 · 2014-11-21 · math.AP · 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{ALXAEM5KBBASIOSMX4JXX3LWJW}

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	2026-05-18T02:33:07.191107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02ee0233aa0841243a4cbf137bed764d9ed0a4f62d269b6d2e6b9cf1537fc5a9

Aliases

arxiv: 1411.5743 · arxiv_version: 1411.5743v1 · doi: 10.48550/arxiv.1411.5743 · pith_short_12: ALXAEM5KBBAS · pith_short_16: ALXAEM5KBBASIOSM · pith_short_8: ALXAEM5K

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/ALXAEM5KBBASIOSMX4JXX3LWJW \
  | 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: 02ee0233aa0841243a4cbf137bed764d9ed0a4f62d269b6d2e6b9cf1537fc5a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "265026b74957abc0bd5e2ff0fd003a8c2e08395fb9db66f8eb56cad9ab49502e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-21T02:27:07Z",
    "title_canon_sha256": "c5f62da70ad8b1b7d8c9c609d9e14bd1659dc375fbdb7cf20760ba03f0cee37d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5743",
    "kind": "arxiv",
    "version": 1
  }
}