Pith Number

pith:TGI5TFMA

pith:2005:TGI5TFMAPZQUSF2QLMNOW4PV2M

not attested not anchored not stored refs pending

Connecting geodesics and security of configurations in compact locally symmetric spaces

Eugene Gutkin, Viktor Schroeder

arxiv:math/0508355 v1 · 2005-08-18 · math.DS · 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{TGI5TFMAPZQUSF2QLMNOW4PV2M}

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	2026-05-18T03:39:30.786693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9991d995807e614917505b1aeb71f5d30216a288930eae3a3383c9c6030e2568

Aliases

arxiv: math/0508355 · arxiv_version: math/0508355v1 · doi: 10.48550/arxiv.math/0508355 · pith_short_12: TGI5TFMAPZQU · pith_short_16: TGI5TFMAPZQUSF2Q · pith_short_8: TGI5TFMA

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/TGI5TFMAPZQUSF2QLMNOW4PV2M \
  | 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: 9991d995807e614917505b1aeb71f5d30216a288930eae3a3383c9c6030e2568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5a9cd0f6bcde608e3c6250c14efed289f48b1db59c8b88471f818086ac18d94",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2005-08-18T17:34:29Z",
    "title_canon_sha256": "8e2b00459076e164532cbb077d695a8035750a81b8fce0126d07cdc9f0b3d0f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508355",
    "kind": "arxiv",
    "version": 1
  }
}