Pith Number

pith:LOAEEE7Y

pith:2008:LOAEEE7Y2HOH54QUW7QQOWNLRY

not attested not anchored not stored refs pending

A topological pinching for the injectivity radius of a compact surface in S^3 and in H^3

Edson S. Figueiredo, Jaime Ripoll

arxiv:0807.3154 v2 · 2008-07-20 · 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{LOAEEE7Y2HOH54QUW7QQOWNLRY}

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	2026-05-18T03:08:15.120646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b804213f8d1dc7ef214b7e10759ab8e3ce31426a8aac81937f4297949b3075a

Aliases

arxiv: 0807.3154 · arxiv_version: 0807.3154v2 · doi: 10.48550/arxiv.0807.3154 · pith_short_12: LOAEEE7Y2HOH · pith_short_16: LOAEEE7Y2HOH54QU · pith_short_8: LOAEEE7Y

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/LOAEEE7Y2HOH54QUW7QQOWNLRY \
  | 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: 5b804213f8d1dc7ef214b7e10759ab8e3ce31426a8aac81937f4297949b3075a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "501d0abe4ac643027b01a000c4466761b9647e1f2869f320b01ac87c2253fcdd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-07-20T12:26:31Z",
    "title_canon_sha256": "b1b21986cd4756f5c98814446997114673eae715a48e4415eaf6bbba9713947a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.3154",
    "kind": "arxiv",
    "version": 2
  }
}