Pith Number

pith:QZD3YWNF

pith:2010:QZD3YWNFJ3R2PZL4ZSJSFDTCZ2

not attested not anchored not stored refs pending

Derived Fundamental Groups for Tate Motives

Markus Spitzweck

arxiv:1005.2670 v2 · 2010-05-15 · 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{QZD3YWNFJ3R2PZL4ZSJSFDTCZ2}

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	2026-05-18T04:37:33.097995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8647bc59a54ee3a7e57ccc93228e62ce85cd6e5b37e806bc5fc0e7da478cd84a

Aliases

arxiv: 1005.2670 · arxiv_version: 1005.2670v2 · doi: 10.48550/arxiv.1005.2670 · pith_short_12: QZD3YWNFJ3R2 · pith_short_16: QZD3YWNFJ3R2PZL4 · pith_short_8: QZD3YWNF

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/QZD3YWNFJ3R2PZL4ZSJSFDTCZ2 \
  | 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: 8647bc59a54ee3a7e57ccc93228e62ce85cd6e5b37e806bc5fc0e7da478cd84a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f82edd0195ea4e09f453a095d32b29e8910340442bec9bf09365cfe2aa7c13c1",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-05-15T12:30:53Z",
    "title_canon_sha256": "1b128e6e3dcebbba7ed0fa465d40bcefac4227ef9eaea0e53a9685236d3ec747"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2670",
    "kind": "arxiv",
    "version": 2
  }
}