Pith Number

pith:3OZCCT6E

pith:2012:3OZCCT6ESFQFNEZJJSOXF3W3GQ

not attested not anchored not stored refs pending

Essential Killing fields of parabolic geometries

Andreas \v{C}ap, Karin Melnick

arxiv:1208.5510 v4 · 2012-08-27 · 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{3OZCCT6ESFQFNEZJJSOXF3W3GQ}

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	2026-05-18T01:32:01.558172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbb2214fc491605693294c9d72eedb34329726d3e8e9d78d76eb2ac64ccbbab5

Aliases

arxiv: 1208.5510 · arxiv_version: 1208.5510v4 · doi: 10.48550/arxiv.1208.5510 · pith_short_12: 3OZCCT6ESFQF · pith_short_16: 3OZCCT6ESFQFNEZJ · pith_short_8: 3OZCCT6E

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/3OZCCT6ESFQFNEZJJSOXF3W3GQ \
  | 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: dbb2214fc491605693294c9d72eedb34329726d3e8e9d78d76eb2ac64ccbbab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a438fa3e9ee43be170419a3391f1a2cd12784ab1cac142a73a7b5137dfcb06a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-08-27T21:18:46Z",
    "title_canon_sha256": "3fe2bec5ba5a5c6cf32ab697ecd08757193695801345e49e0a50127abec008ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5510",
    "kind": "arxiv",
    "version": 4
  }
}