Pith Number

pith:HPW4CSYS

pith:2008:HPW4CSYSVWM2VOOFGXIDKIPTXR

not attested not anchored not stored refs pending

Comparison between the fundamental group scheme of a relative scheme and that of its generic fiber

Marco Antei

arxiv:0807.2286 v3 · 2008-07-15 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPW4CSYSVWM2VOOFGXIDKIPTXR}

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	2026-05-18T03:45:23.547711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bedc14b12ad99aab9c535d03521f3bc735df2aed4b75839737d1be440162590

Aliases

arxiv: 0807.2286 · arxiv_version: 0807.2286v3 · doi: 10.48550/arxiv.0807.2286 · pith_short_12: HPW4CSYSVWM2 · pith_short_16: HPW4CSYSVWM2VOOF · pith_short_8: HPW4CSYS

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/HPW4CSYSVWM2VOOFGXIDKIPTXR \
  | 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: 3bedc14b12ad99aab9c535d03521f3bc735df2aed4b75839737d1be440162590

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51a5a08fda1f0e3f4e2c9b558d167f2b592be904e98635219204c9b2e330ceb8",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-07-15T00:33:02Z",
    "title_canon_sha256": "96c821717e723d81d6c7d0be7b52da6b0ecb09cc5eff8c22a08574c5101aceec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2286",
    "kind": "arxiv",
    "version": 3
  }
}