Pith Number

pith:7PCPFH5M

pith:2013:7PCPFH5MYQ3PIXEURKSXOO6URN

not attested not anchored not stored refs pending

The gap phenomenon in parabolic geometries

Boris Kruglikov, Dennis The

arxiv:1303.1307 v4 · 2013-03-06 · 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{7PCPFH5MYQ3PIXEURKSXOO6URN}

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	2026-05-18T00:45:52.555679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbc4f29facc436f45c948aa5773bd48b50c9c547588b98cdc4003413b8d213a1

Aliases

arxiv: 1303.1307 · arxiv_version: 1303.1307v4 · doi: 10.48550/arxiv.1303.1307 · pith_short_12: 7PCPFH5MYQ3P · pith_short_16: 7PCPFH5MYQ3PIXEU · pith_short_8: 7PCPFH5M

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/7PCPFH5MYQ3PIXEURKSXOO6URN \
  | 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: fbc4f29facc436f45c948aa5773bd48b50c9c547588b98cdc4003413b8d213a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a58bcf5431045bc8a61d4c0e98365678833d63699532456ea2e4a3607ec3e6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-03-06T11:53:01Z",
    "title_canon_sha256": "b3c4c0a37ee5837d64b793afbcc15c961991345ac42f8c77984a981a3ec785ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1307",
    "kind": "arxiv",
    "version": 4
  }
}