Pith Number

pith:QXX6NRV6

pith:2010:QXX6NRV6NMY5VOU2GH6GRJMS2Y

not attested not anchored not stored refs pending

Determinants of finite potent endomorphisms, symbols and reciprocity laws

Daniel Hern\'andez Serrano, Fernando Pablos Romo

arxiv:1011.2044 v4 · 2010-11-09 · math.RA · 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{QXX6NRV6NMY5VOU2GH6GRJMS2Y}

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	2026-05-18T03:29:48.729660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85efe6c6be6b31daba9a31fc68a592d6321aad5ca768946317fd2af2f66f5236

Aliases

arxiv: 1011.2044 · arxiv_version: 1011.2044v4 · doi: 10.48550/arxiv.1011.2044 · pith_short_12: QXX6NRV6NMY5 · pith_short_16: QXX6NRV6NMY5VOU2 · pith_short_8: QXX6NRV6

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/QXX6NRV6NMY5VOU2GH6GRJMS2Y \
  | 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: 85efe6c6be6b31daba9a31fc68a592d6321aad5ca768946317fd2af2f66f5236

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cd656d11412db2ddd4d37689254009f62d423c31d1c96ac523d6ea78c94b7b1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-11-09T11:21:42Z",
    "title_canon_sha256": "253a5903310bfeea84de045769e45dda827a033686bcb7c748d6e720a4ffa443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2044",
    "kind": "arxiv",
    "version": 4
  }
}