Pith Number

pith:SPMS7IEE

pith:2024:SPMS7IEE2QXI7QKWGRJ4XHO6C6

not attested not anchored not stored refs pending

Hierarchical hyperbolicity of admissible curve graphs and the boundary of marked strata

Aaron Calderon, Jacob Russell

arxiv:2409.06798 v2 · 2024-09-10 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPMS7IEE2QXI7QKWGRJ4XHO6C6}

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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.

Cited by

1 paper in Pith

The geometry of totally geodesic subvarieties of moduli spaces of Riemann surfaces

Receipt and verification

First computed	2026-07-05T10:51:25.415297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93d92fa084d42e8fc1563453cb9dde17a677173deccc2c0d34031b5ace410c20

Aliases

arxiv: 2409.06798 · arxiv_version: 2409.06798v2 · doi: 10.48550/arxiv.2409.06798 · pith_short_12: SPMS7IEE2QXI · pith_short_16: SPMS7IEE2QXI7QKW · pith_short_8: SPMS7IEE

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/SPMS7IEE2QXI7QKWGRJ4XHO6C6 \
  | 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: 93d92fa084d42e8fc1563453cb9dde17a677173deccc2c0d34031b5ace410c20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d767de9d6e16a174f00e5ed66775ea0a70b81eb56c306b241c3663f91763b9a8",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-09-10T18:06:52Z",
    "title_canon_sha256": "19290ef898cfabab2929865f10e04c1cbbee02439742ae903a01c03d15b4bab6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.06798",
    "kind": "arxiv",
    "version": 2
  }
}