Pith Number

pith:3BBIKHVB

pith:2024:3BBIKHVBRYUNL6EDSWUSWLYW5I

not attested not anchored not stored refs pending

Synthetic spectra are (usually) cellular

Tyler Lawson

arxiv:2402.03257 v2 · 2024-02-05 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3BBIKHVBRYUNL6EDSWUSWLYW5I}

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.

Cited by

1 paper in Pith

Cellularity of Chromatic Synthetic Spectra

Receipt and verification

First computed	2026-07-05T07:41:50.420615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d842851ea18e28d5f88395a92b2f16ea17e46f3fac44f3e9830fcf57963744e5

Aliases

arxiv: 2402.03257 · arxiv_version: 2402.03257v2 · doi: 10.48550/arxiv.2402.03257 · pith_short_12: 3BBIKHVBRYUN · pith_short_16: 3BBIKHVBRYUNL6ED · pith_short_8: 3BBIKHVB

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/3BBIKHVBRYUNL6EDSWUSWLYW5I \
  | 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: d842851ea18e28d5f88395a92b2f16ea17e46f3fac44f3e9830fcf57963744e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a0edf29bb2d88627ec98b2dcd588d9da4f82135642cad9323d42b76ff36fe48",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-02-05T18:14:43Z",
    "title_canon_sha256": "7234ee873f6b9905cba6a65c0de76ea650bd65e04b7f54c0ac1ff0988b31fbb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.03257",
    "kind": "arxiv",
    "version": 2
  }
}