Pith Number

pith:SE2XPABU

pith:2015:SE2XPABULCE2YQMZQQWELU4OIS

not attested not anchored not stored refs pending

Tethers and homology stability for surfaces

Allen Hatcher, Karen Vogtmann

arxiv:1508.04334 v3 · 2015-08-18 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SE2XPABULCE2YQMZQQWELU4OIS}

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	2026-05-18T00:21:00.280228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91357780345889ac4199842c45d38e44b546f00689827d6ce2456aa7a0b7ed51

Aliases

arxiv: 1508.04334 · arxiv_version: 1508.04334v3 · doi: 10.48550/arxiv.1508.04334 · pith_short_12: SE2XPABULCE2 · pith_short_16: SE2XPABULCE2YQMZ · pith_short_8: SE2XPABU

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/SE2XPABULCE2YQMZQQWELU4OIS \
  | 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: 91357780345889ac4199842c45d38e44b546f00689827d6ce2456aa7a0b7ed51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb7092fd553cc9e07d52c5d00ac8d8b8e8ddf931211c056ad6f373c231e09cd2",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-18T14:45:35Z",
    "title_canon_sha256": "fdf6be3ac88dae101fb4656f29c8dc40da749f3a9dd92e83479ee86928c06f82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04334",
    "kind": "arxiv",
    "version": 3
  }
}