Pith Number

pith:HP7MQDGE

pith:2019:HP7MQDGEJ6BZ77O2WPVTHXZ4K6

not attested not anchored not stored refs pending

Cubulating Surface-by-free Groups

Jason F. Manning, Mahan Mj, Michah Sageev

arxiv:1908.03545 v3 · 2019-08-09 · 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{HP7MQDGEJ6BZ77O2WPVTHXZ4K6}

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	2026-07-05T09:37:03.192789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bfec80cc44f839ffddab3eb33df3c5798f892af992f95e0ffee7e2811a37b61

Aliases

arxiv: 1908.03545 · arxiv_version: 1908.03545v3 · doi: 10.48550/arxiv.1908.03545 · pith_short_12: HP7MQDGEJ6BZ · pith_short_16: HP7MQDGEJ6BZ77O2 · pith_short_8: HP7MQDGE

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/HP7MQDGEJ6BZ77O2WPVTHXZ4K6 \
  | 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: 3bfec80cc44f839ffddab3eb33df3c5798f892af992f95e0ffee7e2811a37b61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad2fbd645cd0d40d5057e65914a77e2a45968f4786833003cd120e32858f2db2",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-08-09T17:15:12Z",
    "title_canon_sha256": "69a290d10a7b3a7d15559d4aac203c2bfb9816e3fd96e4b266d9ca80c3dce4d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03545",
    "kind": "arxiv",
    "version": 3
  }
}