Pith Number

pith:R3NLES2H

pith:2012:R3NLES2H6CLE2QLRUX5R7CVHD2

not attested not anchored not stored refs pending

Nonembedding and nonextension results in special holonomy

Robert L. Bryant

arxiv:1205.7023 v1 · 2012-05-31 · 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{R3NLES2H6CLE2QLRUX5R7CVHD2}

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	2026-05-18T03:54:28.087452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8edab24b47f0964d4171a5fb1f8aa71ea1305a59840e4b144eb468b599ed8086

Aliases

arxiv: 1205.7023 · arxiv_version: 1205.7023v1 · doi: 10.48550/arxiv.1205.7023 · pith_short_12: R3NLES2H6CLE · pith_short_16: R3NLES2H6CLE2QLR · pith_short_8: R3NLES2H

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/R3NLES2H6CLE2QLRUX5R7CVHD2 \
  | 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: 8edab24b47f0964d4171a5fb1f8aa71ea1305a59840e4b144eb468b599ed8086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef1516cbed61c327b47fd003bcb68bfd05422e30bf282cbe07592633259b25ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-31T15:44:25Z",
    "title_canon_sha256": "d5f14916d4a408330b8be57a6568e14d466f27c6d36960f0ec7f3f19f846d216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.7023",
    "kind": "arxiv",
    "version": 1
  }
}