Pith Number

pith:FILR2XSK

pith:2018:FILR2XSKYPMKAYFLL4OYI3IM74

not attested not anchored not stored refs pending

The energy of random signed graph

Shuchao Li, Shujing Wang

arxiv:1812.11865 v1 · 2018-12-27 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FILR2XSKYPMKAYFLL4OYI3IM74}

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	2026-05-17T23:57:10.917620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a171d5e4ac3d8a060ab5f1d846d0cff32297cf35af5f9eade2ecf956176a780

Aliases

arxiv: 1812.11865 · arxiv_version: 1812.11865v1 · doi: 10.48550/arxiv.1812.11865 · pith_short_12: FILR2XSKYPMK · pith_short_16: FILR2XSKYPMKAYFL · pith_short_8: FILR2XSK

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/FILR2XSKYPMKAYFLL4OYI3IM74 \
  | 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: 2a171d5e4ac3d8a060ab5f1d846d0cff32297cf35af5f9eade2ecf956176a780

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1218f269676d19c0dc5fbe34a328339d246f94889899bf5b949acbca64c23414",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-27T13:11:13Z",
    "title_canon_sha256": "b6190a6fb9f76a18020c47fcd8ce9468fd88d290c0542f3c624df2a1b2743e19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11865",
    "kind": "arxiv",
    "version": 1
  }
}