Pith Number

pith:XEFUAFME

pith:2015:XEFUAFMENK3I3TGT7BU37O6CR3

not attested not anchored not stored refs pending

A twisted first homology group of the handlebody mapping class group

Masatoshi Sato, Tomohiko Ishida

arxiv:1502.07048 v1 · 2015-02-25 · math.GT · math.AT · 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{XEFUAFMENK3I3TGT7BU37O6CR3}

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	2026-05-18T02:26:12.025111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b90b4015846ab68dccd3f869bfbbc28edf6d09a3a9b4d586966b9903b185eeb2

Aliases

arxiv: 1502.07048 · arxiv_version: 1502.07048v1 · doi: 10.48550/arxiv.1502.07048 · pith_short_12: XEFUAFMENK3I · pith_short_16: XEFUAFMENK3I3TGT · pith_short_8: XEFUAFME

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/XEFUAFMENK3I3TGT7BU37O6CR3 \
  | 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: b90b4015846ab68dccd3f869bfbbc28edf6d09a3a9b4d586966b9903b185eeb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddd295d3cc430a38c2453bbe2714a888f5b7d9c910a213b5ebb451193a16b883",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-02-25T04:35:20Z",
    "title_canon_sha256": "1b6bc98f8433a45062a1984e2e66da9f4269131970d79858b4c2803739dd3dd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07048",
    "kind": "arxiv",
    "version": 1
  }
}