Pith Number

pith:RDQYF6A4

pith:2012:RDQYF6A4LD7E2STUOYHCMAKF5M

not attested not anchored not stored refs pending

On the spectral moments of trees with a given bipartition

Jiajia Zhang, Shuchao Li

arxiv:1211.4924 v1 · 2012-11-21 · 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{RDQYF6A4LD7E2STUOYHCMAKF5M}

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	2026-05-18T03:40:15.537058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88e182f81c58fe4d4a74760e260145eb142a5c029df156bbb21203d194340270

Aliases

arxiv: 1211.4924 · arxiv_version: 1211.4924v1 · doi: 10.48550/arxiv.1211.4924 · pith_short_12: RDQYF6A4LD7E · pith_short_16: RDQYF6A4LD7E2STU · pith_short_8: RDQYF6A4

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/RDQYF6A4LD7E2STUOYHCMAKF5M \
  | 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: 88e182f81c58fe4d4a74760e260145eb142a5c029df156bbb21203d194340270

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3abed49ca642a9fc2453bf53a7520c0f954981daa3e1290ee4abf0f0063231c2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-21T03:26:11Z",
    "title_canon_sha256": "859bae9e3f92181a86d64f18bff833cc94676c620c484b5b1c5f8cd28acb89dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4924",
    "kind": "arxiv",
    "version": 1
  }
}