Pith Number

pith:2E3W4G6A

pith:2003:2E3W4G6AKDRLLIWFXKV67KBFCD

not attested not anchored not stored refs pending

Morita theory in abelian, derived and stable model categories

Stefan Schwede

arxiv:math/0310146 v1 · 2003-10-10 · 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{2E3W4G6AKDRLLIWFXKV67KBFCD}

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	2026-07-05T00:32:45.557405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1376e1bc050e2b5a2c5baabefa82510c33b8b3ed9f17fa7364f958c27f77b85

Aliases

arxiv: math/0310146 · arxiv_version: math/0310146v1 · doi: 10.48550/arxiv.math/0310146 · pith_short_12: 2E3W4G6AKDRL · pith_short_16: 2E3W4G6AKDRLLIWF · pith_short_8: 2E3W4G6A

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/2E3W4G6AKDRLLIWFXKV67KBFCD \
  | 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: d1376e1bc050e2b5a2c5baabefa82510c33b8b3ed9f17fa7364f958c27f77b85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2defb5e27570fd9d47e0ce05f7f15850abe3d1ebf9bb25ce616c9402948559ed",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2003-10-10T12:38:58Z",
    "title_canon_sha256": "97f170ba9bec197d1aafc06834bf3e83f6f7138ce841dbd950c461494c27ad9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0310146",
    "kind": "arxiv",
    "version": 1
  }
}