Pith Number

pith:6HTMJAO4

pith:2026:6HTMJAO4LNAQDFYFFJKAGOLSVW

not attested not anchored not stored refs pending

Controlled theories, categorification, and homotopification

Johnathon Taylor

arxiv:2607.24716 v1 · 2026-07-27 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6HTMJAO4LNAQDFYFFJKAGOLSVW}

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	2026-07-28T02:24:23.898954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1e6c481dc5b410197052a54033972ad8eb049e870c26ef813adb2c8d3e30744

Aliases

arxiv: 2607.24716 · arxiv_version: 2607.24716v1 · doi: 10.48550/arxiv.2607.24716 · pith_short_12: 6HTMJAO4LNAQ · pith_short_16: 6HTMJAO4LNAQDFYF · pith_short_8: 6HTMJAO4

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/6HTMJAO4LNAQDFYFFJKAGOLSVW \
  | 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: f1e6c481dc5b410197052a54033972ad8eb049e870c26ef813adb2c8d3e30744

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e6d35ea42c09d9a4393891f11d441d4c4ef159d0219c8aa075317246a973bda",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-07-27T17:52:22Z",
    "title_canon_sha256": "c7e62025721f06f9d70b8bdb6a1aa16e07addc79a564e8acfe6c21735fae0249"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24716",
    "kind": "arxiv",
    "version": 1
  }
}