Pith Number

pith:S43ZUD2X

pith:2017:S43ZUD2X3HNZVQTLGK4AKMD45O

not attested not anchored not stored refs pending

On the Adjacency Spectra of Hypertrees

Gregory J. Clark, Joshua Cooper

arxiv:1711.01466 v1 · 2017-11-04 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S43ZUD2X3HNZVQTLGK4AKMD45O}

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	2026-05-18T00:31:17.727488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97379a0f57d9db9ac26b32b805307ceb8065e831725f3fc881eef16eb08fad3b

Aliases

arxiv: 1711.01466 · arxiv_version: 1711.01466v1 · doi: 10.48550/arxiv.1711.01466 · pith_short_12: S43ZUD2X3HNZ · pith_short_16: S43ZUD2X3HNZVQTL · pith_short_8: S43ZUD2X

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/S43ZUD2X3HNZVQTLGK4AKMD45O \
  | 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: 97379a0f57d9db9ac26b32b805307ceb8065e831725f3fc881eef16eb08fad3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26f4f33996c7d3d5776934815ff9690a076fc536a6819d6097b83f855c0111c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-11-04T17:20:59Z",
    "title_canon_sha256": "d41f434682aa57bb58b44bf266876fa6d3e572a2c4f342a546d0d7aadccfeba9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01466",
    "kind": "arxiv",
    "version": 1
  }
}