Pith Number

pith:ZYEC3OKV

pith:2016:ZYEC3OKVAUQMOLKVIFQITRJGRP

not attested not anchored not stored refs pending

On the $A_{\alpha}$-spectra of trees

Germain Past\'en, Oscar Rojo, Ricardo L. Soto, Vladimir Nikiforov

arxiv:1609.00835 v1 · 2016-09-03 · 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{ZYEC3OKVAUQMOLKVIFQITRJGRP}

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	2026-05-18T01:06:19.825754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce082db9550520c72d55416089c5268bc69f08e92aed426e45a49b74f8d590d9

Aliases

arxiv: 1609.00835 · arxiv_version: 1609.00835v1 · doi: 10.48550/arxiv.1609.00835 · pith_short_12: ZYEC3OKVAUQM · pith_short_16: ZYEC3OKVAUQMOLKV · pith_short_8: ZYEC3OKV

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/ZYEC3OKVAUQMOLKVIFQITRJGRP \
  | 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: ce082db9550520c72d55416089c5268bc69f08e92aed426e45a49b74f8d590d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5ac6da9c71dcb25a4103bb86713635428413a5a1634ae441630b619697be12b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-03T15:14:49Z",
    "title_canon_sha256": "9a0f7f127c99464ee3744d49bd6c447e7880748044d38638de8c20bc9481eec8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00835",
    "kind": "arxiv",
    "version": 1
  }
}