Pith Number

pith:LHLZKBOG

pith:2016:LHLZKBOG2HKPEAGU2QQKAX6D54

not attested not anchored not stored refs pending

Structure of Porous Sets in Carnot Groups

Andrea Pinamonti, Gareth Speight

arxiv:1607.04681 v2 · 2016-07-15 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHLZKBOG2HKPEAGU2QQKAX6D54}

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	2026-05-18T00:39:47.629842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59d79505c6d1d4f200d4d420a05fc3ef17693c6e2c59f464e4ceca54c0987fd6

Aliases

arxiv: 1607.04681 · arxiv_version: 1607.04681v2 · doi: 10.48550/arxiv.1607.04681 · pith_short_12: LHLZKBOG2HKP · pith_short_16: LHLZKBOG2HKPEAGU · pith_short_8: LHLZKBOG

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/LHLZKBOG2HKPEAGU2QQKAX6D54 \
  | 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: 59d79505c6d1d4f200d4d420a05fc3ef17693c6e2c59f464e4ceca54c0987fd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81101d404a7ac4aa36778039e6334b220b7d1bd34e90c1fb8bf3691d8c9d929a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-07-15T23:18:01Z",
    "title_canon_sha256": "158fe8464fc05b157a4f88ff739cffce3fb6c50644c13d97bc3ba81a460a64d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04681",
    "kind": "arxiv",
    "version": 2
  }
}