Pith Number

pith:Z5H63V52

pith:2012:Z5H63V52VEMNOAPIFFANFSOXLJ

not attested not anchored not stored refs pending

A negative answer to the question of the linearity of Tate's Trace for the sum of two endomorphisms

Fernando Pablos Romo, Julia Ramos Gonz\'alez

arxiv:1209.4597 v1 · 2012-09-19 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5H63V52VEMNOAPIFFANFSOXLJ}

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	2026-07-05T01:16:05.692073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf4fedd7baa918d701e82940d2c9d75a5c23a51ba2b4c9cda20bd1141b3509ef

Aliases

arxiv: 1209.4597 · arxiv_version: 1209.4597v1 · doi: 10.48550/arxiv.1209.4597 · pith_short_12: Z5H63V52VEMN · pith_short_16: Z5H63V52VEMNOAPI · pith_short_8: Z5H63V52

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/Z5H63V52VEMNOAPIFFANFSOXLJ \
  | 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: cf4fedd7baa918d701e82940d2c9d75a5c23a51ba2b4c9cda20bd1141b3509ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e94ec4c165744799d1873f5d324dd3f1c990512f103a4077b159a4d09df06c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-09-19T11:28:21Z",
    "title_canon_sha256": "d9d937ea5b8fb95acb49f0be1e4c2796469fd06f1ee6b182514e0459d4edde3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4597",
    "kind": "arxiv",
    "version": 1
  }
}