Pith Number

pith:SFLUHCM5

pith:2024:SFLUHCM5TGAB2UXUZ2XREVZGDM

not attested not anchored not stored refs pending

Surfaces proper homotopy equivalent to graphs and their Dehn-Nielsen-Baer maps

Hannah Hoganson, Ryan Dickmann, Sanghoon Kwak

arxiv:2410.20877 v1 · 2024-10-28 · 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{SFLUHCM5TGAB2UXUZ2XREVZGDM}

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.

Cited by

1 paper in Pith

Asymptotically rigid mapping class groups of infinite graphs

Receipt and verification

First computed	2026-07-05T09:27:12.447236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

915743899d99801d52f4ceaf1257261b1655900314d32e705a2da3241d13db79

Aliases

arxiv: 2410.20877 · arxiv_version: 2410.20877v1 · doi: 10.48550/arxiv.2410.20877 · pith_short_12: SFLUHCM5TGAB · pith_short_16: SFLUHCM5TGAB2UXU · pith_short_8: SFLUHCM5

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/SFLUHCM5TGAB2UXUZ2XREVZGDM \
  | 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: 915743899d99801d52f4ceaf1257261b1655900314d32e705a2da3241d13db79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3239a6b14010abcbe70d45b7a36e6752745d2c08d478e3a050bc5d6fcd93d4f7",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-10-28T09:52:31Z",
    "title_canon_sha256": "8dd8f257da0d8ed6a026c0ef6a78295b6d379b1b657c68c72156febb842046de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.20877",
    "kind": "arxiv",
    "version": 1
  }
}