Pith Number

pith:T54PKNQJ

pith:2018:T54PKNQJLHGDJHSTBNAOC3DRDN

not attested not anchored not stored refs pending

A note on Liouville type equations on graphs

Bobo Hua, Huabin Ge, Wenfeng Jiang

arxiv:1803.04181 v1 · 2018-03-12 · 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{T54PKNQJLHGDJHSTBNAOC3DRDN}

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	2026-05-18T00:21:32.400732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f78f5360959cc349e530b40e16c711b7489e98c5c3b1c32d0fca12187861600

Aliases

arxiv: 1803.04181 · arxiv_version: 1803.04181v1 · doi: 10.48550/arxiv.1803.04181 · pith_short_12: T54PKNQJLHGD · pith_short_16: T54PKNQJLHGDJHST · pith_short_8: T54PKNQJ

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/T54PKNQJLHGDJHSTBNAOC3DRDN \
  | 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: 9f78f5360959cc349e530b40e16c711b7489e98c5c3b1c32d0fca12187861600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ad495ca5c8ebdd082fd33b282e4e0265e0a376ea385dd1b80b9472adb736cc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-12T10:52:09Z",
    "title_canon_sha256": "5b37f819fde0be5858984b023fa5256c212736553a24d08bf27dd304d0cd198d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04181",
    "kind": "arxiv",
    "version": 1
  }
}