Pith Number

pith:CIARTVG6

pith:2012:CIARTVG6ZDAVLP3Q2CUC5UF3HM

not attested not anchored not stored refs pending

Integral estimates for the trace of symmetric operators

Heudson Mirandola, Marcio Batista

arxiv:1204.0108 v2 · 2012-03-31 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIARTVG6ZDAVLP3Q2CUC5UF3HM}

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	2026-05-18T03:48:58.835843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

120119d4dec8c155bf70d0a82ed0bb3b226a6ee9b1a4c25ac65dbdea2e64a8b6

Aliases

arxiv: 1204.0108 · arxiv_version: 1204.0108v2 · doi: 10.48550/arxiv.1204.0108 · pith_short_12: CIARTVG6ZDAV · pith_short_16: CIARTVG6ZDAVLP3Q · pith_short_8: CIARTVG6

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/CIARTVG6ZDAVLP3Q2CUC5UF3HM \
  | 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: 120119d4dec8c155bf70d0a82ed0bb3b226a6ee9b1a4c25ac65dbdea2e64a8b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b20155f53e9a52cf4eef9d1043e82707c59ae79036f4630a5ad92cfa92f2b6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-31T15:49:55Z",
    "title_canon_sha256": "3ae2fbcb40d8b083f8291cf7a32a6d655f87a5e5d20d677b6cf2ba4bf4af496c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0108",
    "kind": "arxiv",
    "version": 2
  }
}