Pith Number

pith:XP2TQKJV

pith:2016:XP2TQKJVTH2PSHOSNJR554BGIJ

not attested not anchored not stored refs pending

On Grothendieck's tame topology

Athanase Papadopoulos (IRMA), Lizhen Ji, Norbert A'Campo

arxiv:1603.03016 v1 · 2016-03-09 · math.GT · math.AG · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XP2TQKJVTH2PSHOSNJR554BGIJ}

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	2026-05-18T01:19:19.355072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbf538293599f4f91dd26a63def026424b41eeedb15edf7dc386e42f562d4002

Aliases

arxiv: 1603.03016 · arxiv_version: 1603.03016v1 · doi: 10.48550/arxiv.1603.03016 · pith_short_12: XP2TQKJVTH2P · pith_short_16: XP2TQKJVTH2PSHOS · pith_short_8: XP2TQKJV

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/XP2TQKJVTH2PSHOSNJR554BGIJ \
  | 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: bbf538293599f4f91dd26a63def026424b41eeedb15edf7dc386e42f562d4002

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e93e210ab63e379a521cac0c40ee19d917d68c099d1b813867c89f555c42f017",
    "cross_cats_sorted": [
      "math.AG",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-03-09T19:54:51Z",
    "title_canon_sha256": "fbba736de1a6bf8950d9534236b3e7514b7a5128fbfea4753d9cfc319de2361e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03016",
    "kind": "arxiv",
    "version": 1
  }
}