Pith Number

pith:SI6ZNV24

pith:2011:SI6ZNV24VVLLELQJRZFIBATF3I

not attested not anchored not stored refs pending

Graded and Filtered Fiber Functors on Tannakian Categories

Paul Ziegler

arxiv:1111.1981 v4 · 2011-11-08 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SI6ZNV24VVLLELQJRZFIBATF3I}

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	2026-05-18T01:35:52.614662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

923d96d75cad56b22e098e4a808265da203966b649c1787cc7ddd4ee9ce597ea

Aliases

arxiv: 1111.1981 · arxiv_version: 1111.1981v4 · doi: 10.48550/arxiv.1111.1981 · pith_short_12: SI6ZNV24VVLL · pith_short_16: SI6ZNV24VVLLELQJ · pith_short_8: SI6ZNV24

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/SI6ZNV24VVLLELQJRZFIBATF3I \
  | 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: 923d96d75cad56b22e098e4a808265da203966b649c1787cc7ddd4ee9ce597ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edf7b2ad5e4dcdb77c5dbe69324c5bb3a33d7e744d588688bccdad221943fc6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-08T17:27:41Z",
    "title_canon_sha256": "46ab8890fee70ddb1bd3033c00184233c0694d06e39c64422411a02db7edb194"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1981",
    "kind": "arxiv",
    "version": 4
  }
}