Pith Number

pith:5YVGIE4W

pith:2013:5YVGIE4W6X7TAWQIKQ4VUPBM7P

not attested not anchored not stored refs pending

Immersions and translation structures I: The space of structures on the pointed disk

W. Patrick Hooper

arxiv:1309.4795 v6 · 2013-09-18 · math.GT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5YVGIE4W6X7TAWQIKQ4VUPBM7P}

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	2026-05-18T01:13:31.295589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee2a641396f5ff305a0854395a3c2cfbdcab1e1baceca6b8c10e50b5f95947a2

Aliases

arxiv: 1309.4795 · arxiv_version: 1309.4795v6 · doi: 10.48550/arxiv.1309.4795 · pith_short_12: 5YVGIE4W6X7T · pith_short_16: 5YVGIE4W6X7TAWQI · pith_short_8: 5YVGIE4W

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/5YVGIE4W6X7TAWQIKQ4VUPBM7P \
  | 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: ee2a641396f5ff305a0854395a3c2cfbdcab1e1baceca6b8c10e50b5f95947a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73152d73777abbfbcad94099aebcc4a14efc5c0b3e476275ff2bcc52d01af3af",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-09-18T21:07:58Z",
    "title_canon_sha256": "33b1d592551811aa7eb6bd77010c8de79a2d2867b23d5887eedb8072ac856f6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4795",
    "kind": "arxiv",
    "version": 6
  }
}