Pith Number

pith:7RJAYTED

pith:2026:7RJAYTEDGVEAFIJKGCR4CW3QYS

not attested not anchored not stored refs pending

Schematic Functorialities of Birational Motivic Homotopy Categories

Dipankar Maity

arxiv:2608.04793 v1 · 2026-08-05 · math.AG · math.AT · 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{7RJAYTEDGVEAFIJKGCR4CW3QYS}

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	2026-08-06T01:47:07.450961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc520c4c83354802a12a30a3c15b70c49f06c5a0dc4b31a820b77636ef7fdea3

Aliases

arxiv: 2608.04793 · arxiv_version: 2608.04793v1 · doi: 10.48550/arxiv.2608.04793 · pith_short_12: 7RJAYTEDGVEA · pith_short_16: 7RJAYTEDGVEAFIJK · pith_short_8: 7RJAYTED

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/7RJAYTEDGVEAFIJKGCR4CW3QYS \
  | 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: fc520c4c83354802a12a30a3c15b70c49f06c5a0dc4b31a820b77636ef7fdea3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5e84a0975c6ad67526dfd8eefd581fd12b14ced1233cda4ca98e477c35f1e54",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-08-05T12:58:35Z",
    "title_canon_sha256": "3b7bc623d0ce5582a51a7f94d1419dd702d4b6e52d35723420894959386fed54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04793",
    "kind": "arxiv",
    "version": 1
  }
}