Pith Number

pith:VEGMY4ES

pith:2017:VEGMY4ESGDS3Y2M2UYOLBHVR4G

not attested not anchored not stored refs pending

Decycling Number of Linear Graphs of Trees

Jian Wang, Xirong Xu

arxiv:1701.01953 v3 · 2017-01-08 · 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{VEGMY4ESGDS3Y2M2UYOLBHVR4G}

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	2026-05-18T00:05:24.244659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a90ccc709230e5bc699aa61cb09eb1e19194b1b82fddd11e0b7ac68e2f89a085

Aliases

arxiv: 1701.01953 · arxiv_version: 1701.01953v3 · doi: 10.48550/arxiv.1701.01953 · pith_short_12: VEGMY4ESGDS3 · pith_short_16: VEGMY4ESGDS3Y2M2 · pith_short_8: VEGMY4ES

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/VEGMY4ESGDS3Y2M2UYOLBHVR4G \
  | 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: a90ccc709230e5bc699aa61cb09eb1e19194b1b82fddd11e0b7ac68e2f89a085

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fd7d45e44639e1af584bad48baa4a7c30c8ad90d88bec513c49ae1be85fed98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-08T12:58:54Z",
    "title_canon_sha256": "2355015c4831ce2057501b23f4f7eb927ba3816e3c72e5ef91e3bb34f070f956"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01953",
    "kind": "arxiv",
    "version": 3
  }
}