Pith Number

pith:VFFF35KP

pith:2019:VFFF35KPLROZGH4V4PAKPSH2AD

not attested not anchored not stored refs pending

On the Spectrum of Finite, Rooted Homogeneous Trees

Daniel N. Rockmore, Daryl R. DeFord

arxiv:1903.07134 v2 · 2019-03-17 · math.RT · cs.OH · 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{VFFF35KPLROZGH4V4PAKPSH2AD}

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	2026-07-05T00:51:01.956794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a94a5df54f5c5d931f95e3c0a7c8fa00d0db7ff3b63f3734e75a42d4ce61d45c

Aliases

arxiv: 1903.07134 · arxiv_version: 1903.07134v2 · doi: 10.48550/arxiv.1903.07134 · pith_short_12: VFFF35KPLROZ · pith_short_16: VFFF35KPLROZGH4V · pith_short_8: VFFF35KP

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/VFFF35KPLROZGH4V4PAKPSH2AD \
  | 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: a94a5df54f5c5d931f95e3c0a7c8fa00d0db7ff3b63f3734e75a42d4ce61d45c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a086d2b8326fb1709724df696678b8261d930e66776c3db6ed3810795a0f83f",
    "cross_cats_sorted": [
      "cs.OH",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-03-17T17:19:41Z",
    "title_canon_sha256": "51be03ad255b9eb0fa50c0675509e3a7559ed79e10f39bad328bfd9cb5f9a92d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07134",
    "kind": "arxiv",
    "version": 2
  }
}