Pith Number

pith:7QAYLDEE

pith:2016:7QAYLDEERGUF27CZBMONYCD4WO

not attested not anchored not stored refs pending

Chain groups of homeomorphisms of the interval

Sang-hyun Kim, Thomas Koberda, Yash Lodha

arxiv:1610.04099 v3 · 2016-10-13 · math.GT · math.DS · 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{7QAYLDEERGUF27CZBMONYCD4WO}

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	2026-05-18T00:28:27.048715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc01858c8489a85d7c590b1cdc087cb3bdd1def7961cf44737d77b5798c634a1

Aliases

arxiv: 1610.04099 · arxiv_version: 1610.04099v3 · doi: 10.48550/arxiv.1610.04099 · pith_short_12: 7QAYLDEERGUF · pith_short_16: 7QAYLDEERGUF27CZ · pith_short_8: 7QAYLDEE

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/7QAYLDEERGUF27CZBMONYCD4WO \
  | 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: fc01858c8489a85d7c590b1cdc087cb3bdd1def7961cf44737d77b5798c634a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6789f457976069f3328b329ba8c0542b9669b4604edd36169883a90a13f278b6",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-10-13T14:29:51Z",
    "title_canon_sha256": "b93203b582187f4fc2b69d1963d1ba2592f5201679153ea3831196e247e6724c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04099",
    "kind": "arxiv",
    "version": 3
  }
}