Pith Number

pith:SIPHPRYK

pith:2011:SIPHPRYKKTE4KNS7PNX57Y45WS

not attested not anchored not stored refs pending

Some differential complexes within and beyond parabolic geometry

A. Rod Gover, Katharina Neusser, Michael G. Eastwood, Robert L. Bryant

arxiv:1112.2142 v3 · 2011-12-09 · 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{SIPHPRYKKTE4KNS7PNX57Y45WS}

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	2026-05-18T03:59:49.200824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

921e77c70a54c9c5365f7b6fdfe39db494db6733b86f74c1de2c09792ee64127

Aliases

arxiv: 1112.2142 · arxiv_version: 1112.2142v3 · doi: 10.48550/arxiv.1112.2142 · pith_short_12: SIPHPRYKKTE4 · pith_short_16: SIPHPRYKKTE4KNS7 · pith_short_8: SIPHPRYK

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/SIPHPRYKKTE4KNS7PNX57Y45WS \
  | 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: 921e77c70a54c9c5365f7b6fdfe39db494db6733b86f74c1de2c09792ee64127

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fb7495ff9cd8f68a2427b8279e44581cc4ff3df1b539469d942eab3ba205004",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-12-09T16:41:18Z",
    "title_canon_sha256": "99c24e0e8f88a76e601586c367364ad9510c708744a3af809460c7ce63f99c31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2142",
    "kind": "arxiv",
    "version": 3
  }
}