Pith Number

pith:EFKAXSE2

pith:2019:EFKAXSE2CUEFZDNV7G3GDLJYAB

not attested not anchored not stored refs pending

The local-to-global property for Morse quasi-geodesics

Davide Spriano, Hung Cong Tran, Jacob Russell

arxiv:1908.11292 v3 · 2019-08-29 · math.GR · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EFKAXSE2CUEFZDNV7G3GDLJYAB}

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	2026-07-05T03:02:36.515926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21540bc89a15085c8db5f9b661ad38006d6741caafd39ffdff106dbe4657b9c0

Aliases

arxiv: 1908.11292 · arxiv_version: 1908.11292v3 · doi: 10.48550/arxiv.1908.11292 · pith_short_12: EFKAXSE2CUEF · pith_short_16: EFKAXSE2CUEFZDNV · pith_short_8: EFKAXSE2

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/EFKAXSE2CUEFZDNV7G3GDLJYAB \
  | 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: 21540bc89a15085c8db5f9b661ad38006d6741caafd39ffdff106dbe4657b9c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96165b45402620a5d95dfe5931b795446adf3cbc82b9f60d931b088cd86063cb",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-08-29T15:29:08Z",
    "title_canon_sha256": "4dd32e7fd33ccc8a5456a154c63eb2c29f55b9a8543a1ac619c753282b68a37a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.11292",
    "kind": "arxiv",
    "version": 3
  }
}