Pith Number

pith:X6336MOD

pith:2010:X6336MODSXIPFX6DS6A5JMGCTF

not attested not anchored not stored refs pending

The Fundamental Group Scheme of a non Reduced Scheme

Marco Antei

arxiv:1011.5596 v2 · 2010-11-25 · 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{X6336MODSXIPFX6DS6A5JMGCTF}

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	2026-05-18T03:45:23.379563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfb7bf31c395d0f2dfc39781d4b0c2995ecaed0130d4a1534366285da40597cc

Aliases

arxiv: 1011.5596 · arxiv_version: 1011.5596v2 · doi: 10.48550/arxiv.1011.5596 · pith_short_12: X6336MODSXIP · pith_short_16: X6336MODSXIPFX6D · pith_short_8: X6336MOD

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/X6336MODSXIPFX6DS6A5JMGCTF \
  | 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: bfb7bf31c395d0f2dfc39781d4b0c2995ecaed0130d4a1534366285da40597cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7d46ba554c6e5e40ed92be4ffc06164e203b9c2d029991c2e945540557e8d39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-25T11:05:47Z",
    "title_canon_sha256": "d7a0818bbf3b29093f6a5fdffe5fb50e91905aa307718c98297dc97a2336f3e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5596",
    "kind": "arxiv",
    "version": 2
  }
}