Pith Number

pith:5DG4IMPG

pith:2011:5DG4IMPG3S5RZZXPNMF4WT4EZQ

not attested not anchored not stored refs pending

Extens\~ao de aplica\c{c}\~oes na esfera de um espa\c{c}o vetorial com produto interno

J. Edson Sampaio

arxiv:1109.2866 v2 · 2011-09-13 · math.FA · 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{5DG4IMPG3S5RZZXPNMF4WT4EZQ}

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	2026-05-18T04:12:55.503970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8cdc431e6dcbb1ce6ef6b0bcb4f84cc1ce2b93f5ac4067ad82a958d017dc145

Aliases

arxiv: 1109.2866 · arxiv_version: 1109.2866v2 · doi: 10.48550/arxiv.1109.2866 · pith_short_12: 5DG4IMPG3S5R · pith_short_16: 5DG4IMPG3S5RZZXP · pith_short_8: 5DG4IMPG

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/5DG4IMPG3S5RZZXPNMF4WT4EZQ \
  | 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: e8cdc431e6dcbb1ce6ef6b0bcb4f84cc1ce2b93f5ac4067ad82a958d017dc145

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68b4693aa5ebd18c725519405451b6882f5b932d08f19198b2d96b19b228d619",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-09-13T17:55:54Z",
    "title_canon_sha256": "4a73aa6185ac484f6718e911a8e8c1e74dffa5fee31730fd3e15fa8daa1eba24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2866",
    "kind": "arxiv",
    "version": 2
  }
}