Pith Number

pith:6NZQKRUJ

pith:2012:6NZQKRUJIAXWYLTHF45SVCPOWP

not attested not anchored not stored refs pending

Radial representation of lower semicontinuous envelope

Jean-Philippe Mandallena, Omar Anza Hafsa

arxiv:1211.6504 v2 · 2012-11-28 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6NZQKRUJIAXWYLTHF45SVCPOWP}

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	2026-05-18T03:13:10.593454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f373054689402f6c2e672f3b2a89eeb3cd12a15adb86c854b509ed13f6d30b2b

Aliases

arxiv: 1211.6504 · arxiv_version: 1211.6504v2 · doi: 10.48550/arxiv.1211.6504 · pith_short_12: 6NZQKRUJIAXW · pith_short_16: 6NZQKRUJIAXWYLTH · pith_short_8: 6NZQKRUJ

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/6NZQKRUJIAXWYLTHF45SVCPOWP \
  | 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: f373054689402f6c2e672f3b2a89eeb3cd12a15adb86c854b509ed13f6d30b2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c649b4f8e5353f3abcbdd81be16964451e81e1bab2de31381954da0e0a2fec96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-11-28T02:29:50Z",
    "title_canon_sha256": "b49a11470318f88691a9b4a3956c81c92e6283a0bc9417c6a2b1f20c26a164ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6504",
    "kind": "arxiv",
    "version": 2
  }
}