Pith Number

pith:MHAQ42TE

pith:2026:MHAQ42TEM3XXSSZ47ESV5X3JVU

not attested not anchored not stored refs pending

A Deep Dive Into the Tangent Category of Schemes

Geoff Vooys

arxiv:2608.06855 v1 · 2026-08-07 · math.AG · math.CT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHAQ42TEM3XXSSZ47ESV5X3JVU}

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	2026-08-10T01:12:18.366802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61c10e6a6466ef794b3cf9255edf69ad39c3368a728f785dd4b9428649bf1614

Aliases

arxiv: 2608.06855 · arxiv_version: 2608.06855v1 · doi: 10.48550/arxiv.2608.06855 · pith_short_12: MHAQ42TEM3XX · pith_short_16: MHAQ42TEM3XXSSZ4 · pith_short_8: MHAQ42TE

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/MHAQ42TEM3XXSSZ47ESV5X3JVU \
  | 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: 61c10e6a6466ef794b3cf9255edf69ad39c3368a728f785dd4b9428649bf1614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc7dba5364ec1fc4c548ec330dc728bd958ff74375831185f41cefb40abab912",
    "cross_cats_sorted": [
      "math.CT",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-08-07T06:27:46Z",
    "title_canon_sha256": "7a2755306521a8b44fc367b1121253f0fcb67bb77b5c827b3ade5e65847c7617"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06855",
    "kind": "arxiv",
    "version": 1
  }
}