Pith Number

pith:EX6KN2I6

pith:2025:EX6KN2I62W7J5IA2WFSBQVK4B7

not attested not anchored not stored refs pending

A characterization of all graphs cospectral to the double star $P_2(1,n)$

Emily Barranca, Michael D. Barrus

arxiv:2506.06934 v1 · 2025-06-07 · 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{EX6KN2I62W7J5IA2WFSBQVK4B7}

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	2026-07-05T11:17:58.503148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25fca6e91ed5be9ea01ab16418555c0fc3a3776a0f7c0edcb54ee76be04b56f8

Aliases

arxiv: 2506.06934 · arxiv_version: 2506.06934v1 · doi: 10.48550/arxiv.2506.06934 · pith_short_12: EX6KN2I62W7J · pith_short_16: EX6KN2I62W7J5IA2 · pith_short_8: EX6KN2I6

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/EX6KN2I62W7J5IA2WFSBQVK4B7 \
  | 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: 25fca6e91ed5be9ea01ab16418555c0fc3a3776a0f7c0edcb54ee76be04b56f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b48469aeb05e34b7a81f2f894a58375992f864b777b7b55037eecb6973c420f4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-07T22:02:54Z",
    "title_canon_sha256": "aa05dd6d008593dc336e27bc862de20efd9bbdbcd6ed9f5e2c6702ad652b6fe8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06934",
    "kind": "arxiv",
    "version": 1
  }
}