Pith Number

pith:7CJKUBJ6

pith:2014:7CJKUBJ6PYB557VV7RXVP75XMR

not attested not anchored not stored refs pending

On the indefinite Kirchhoff type problems with local sublinearity and linearity

Juntao Sun, Tsung-fang Wu

arxiv:1408.5502 v1 · 2014-08-23 · 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{7CJKUBJ6PYB557VV7RXVP75XMR}

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	2026-05-18T02:44:25.015405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f892aa053e7e03defeb5fc6f57ffb7645c4f7513185d1708a7c6c1677ce22a23

Aliases

arxiv: 1408.5502 · arxiv_version: 1408.5502v1 · doi: 10.48550/arxiv.1408.5502 · pith_short_12: 7CJKUBJ6PYB5 · pith_short_16: 7CJKUBJ6PYB557VV · pith_short_8: 7CJKUBJ6

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/7CJKUBJ6PYB557VV7RXVP75XMR \
  | 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: f892aa053e7e03defeb5fc6f57ffb7645c4f7513185d1708a7c6c1677ce22a23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6e2d0288aefeb33a979cd2b14005a6b990881b970aae25c908c71fc589d1fb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-08-23T15:06:28Z",
    "title_canon_sha256": "227ef8ef0bef2b0c3dfd3690004b5d8a3af2ae26e70a8421af71ba19bd441355"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5502",
    "kind": "arxiv",
    "version": 1
  }
}