Pith Number

pith:HQL4I6TG

pith:2012:HQL4I6TGTOQZRX5VI2DS5FBZKJ

not attested not anchored not stored refs pending

Essential Killing fields of parabolic geometries: projective and conformal structures

Andreas Cap, Karin Melnick

arxiv:1211.5477 v2 · 2012-11-23 · 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{HQL4I6TGTOQZRX5VI2DS5FBZKJ}

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	2026-05-18T03:12:35.067051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c17c47a669ba198dfb546872e943952793940fb7282507a4341a840b8fa6248

Aliases

arxiv: 1211.5477 · arxiv_version: 1211.5477v2 · doi: 10.48550/arxiv.1211.5477 · pith_short_12: HQL4I6TGTOQZ · pith_short_16: HQL4I6TGTOQZRX5V · pith_short_8: HQL4I6TG

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/HQL4I6TGTOQZRX5VI2DS5FBZKJ \
  | 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: 3c17c47a669ba198dfb546872e943952793940fb7282507a4341a840b8fa6248

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "585be7ae5fa7b19b2746a33e725492cf5fceaf0f4bb8ee47f8a81bc381cf4bc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-23T11:49:03Z",
    "title_canon_sha256": "8e380b653544a7c95f9d177bc9941e87e1a9e660bcabe784a867890a7637011f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5477",
    "kind": "arxiv",
    "version": 2
  }
}