Pith Number

pith:5L2THRMS

pith:2011:5L2THRMSGBX6GPUOGQTLCSTXW6

not attested not anchored not stored refs pending

Curvature-adapted submanifolds of symmetric spaces

Thomas Murphy

arxiv:1102.4756 v2 · 2011-02-23 · 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{5L2THRMSGBX6GPUOGQTLCSTXW6}

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	2026-05-18T04:02:00.910108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaf533c592306fe33e8e3426b14a77b790673e25a89033240038cc124a663a65

Aliases

arxiv: 1102.4756 · arxiv_version: 1102.4756v2 · doi: 10.48550/arxiv.1102.4756 · pith_short_12: 5L2THRMSGBX6 · pith_short_16: 5L2THRMSGBX6GPUO · pith_short_8: 5L2THRMS

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/5L2THRMSGBX6GPUOGQTLCSTXW6 \
  | 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: eaf533c592306fe33e8e3426b14a77b790673e25a89033240038cc124a663a65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f9867ba8021ad61c593c0bff7ae8f0b318cf02d518bd68903b486767b4d6efb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-02-23T15:01:32Z",
    "title_canon_sha256": "51e48d36d3e2e6ae74f3f02c73c0795c5c444e9974527d57a366c479b82203c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4756",
    "kind": "arxiv",
    "version": 2
  }
}