Pith Number

pith:AO7L3G5L

pith:2026:AO7L3G5LX5IIPWENZFZB3XIZIP

not attested not anchored not stored refs pending

Tannakian reconstruction in derived algebraic geometry

Joshua Mundinger, Shubhankar Sahai

arxiv:2608.00999 v1 · 2026-08-02 · math.AG · 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{AO7L3G5LX5IIPWENZFZB3XIZIP}

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	2026-08-04T01:56:11.463582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03bebd9babbf5087d88dc9721ddd1943d987ce42f923fbb6809c10f20ca8eb92

Aliases

arxiv: 2608.00999 · arxiv_version: 2608.00999v1 · doi: 10.48550/arxiv.2608.00999 · pith_short_12: AO7L3G5LX5II · pith_short_16: AO7L3G5LX5IIPWEN · pith_short_8: AO7L3G5L

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/AO7L3G5LX5IIPWENZFZB3XIZIP \
  | 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: 03bebd9babbf5087d88dc9721ddd1943d987ce42f923fbb6809c10f20ca8eb92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b7c335b403ec2a25f0252c7d5b0ff133a22aba586025c8d231b27d21f95a912",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-08-02T04:59:20Z",
    "title_canon_sha256": "a9ccb6b26672c20392533ba81ab4f720cddb95f83d4b6cc19cb4074c5c7455d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00999",
    "kind": "arxiv",
    "version": 1
  }
}