Pith Number

pith:XWMJMIY2

pith:2016:XWMJMIY2WZZGT4JK6F7JVIDN5G

not attested not anchored not stored refs pending

New infinite families of pseudo-Anosov maps with vanishing Sah-Arnoux-Fathi invariant

Hieu Trung Do, Thomas A. Schmidt

arxiv:1603.01665 v1 · 2016-03-05 · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWMJMIY2WZZGT4JK6F7JVIDN5G}

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	2026-05-18T01:19:05.064336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd9896231ab67269f12af17e9aa06de9990da6ad68004181539a4748e682542b

Aliases

arxiv: 1603.01665 · arxiv_version: 1603.01665v1 · doi: 10.48550/arxiv.1603.01665 · pith_short_12: XWMJMIY2WZZG · pith_short_16: XWMJMIY2WZZGT4JK · pith_short_8: XWMJMIY2

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/XWMJMIY2WZZGT4JK6F7JVIDN5G \
  | 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: bd9896231ab67269f12af17e9aa06de9990da6ad68004181539a4748e682542b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d46244085290ed168ae163979a31fa877ae2e5a4b83004d5e7a291f07d57f5b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-05T01:10:25Z",
    "title_canon_sha256": "4de3d3b30ffc2d8fa513628b4f9998fbeb0f29f36e6f61744bbe3dff68ac7259"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01665",
    "kind": "arxiv",
    "version": 1
  }
}