Pith Number

pith:3ZO4VBCQ

pith:2017:3ZO4VBCQGHHCOKA2YJKVTMNAFD

not attested not anchored not stored refs pending

Sharp nonexistence results for curvature equations with four singular sources on rectangular tori

Chang-shou Lin, Zhijie Chen

arxiv:1709.04287 v1 · 2017-09-13 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ZO4VBCQGHHCOKA2YJKVTMNAFD}

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	2026-05-18T00:35:14.807292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de5dca845031ce27281ac25559b1a028f393a48b34377fb0283726539aba6096

Aliases

arxiv: 1709.04287 · arxiv_version: 1709.04287v1 · doi: 10.48550/arxiv.1709.04287 · pith_short_12: 3ZO4VBCQGHHC · pith_short_16: 3ZO4VBCQGHHCOKA2 · pith_short_8: 3ZO4VBCQ

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/3ZO4VBCQGHHCOKA2YJKVTMNAFD \
  | 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: de5dca845031ce27281ac25559b1a028f393a48b34377fb0283726539aba6096

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe7cd95ebc71fbb54f6ad9a3b22e7346c19beda75bb981f408ac34247b2f4aa0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-13T12:34:40Z",
    "title_canon_sha256": "b54125c1e1437127646ffa3d6c30f66139bed36c091313d8def8ab2443c9a8fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04287",
    "kind": "arxiv",
    "version": 1
  }
}