Pith Number

pith:HJHQ6SPK

pith:2016:HJHQ6SPKLQQC6YW3ZTOENGGBS7

not attested not anchored not stored refs pending

Homology and orientation reversing periodic maps on surfaces

Haibin Hang

arxiv:1603.00507 v4 · 2016-03-01 · math.AT · 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{HJHQ6SPKLQQC6YW3ZTOENGGBS7}

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	2026-05-18T00:30:17.797030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a4f0f49ea5c202f62dbccdc4698c197fcd9dbc6993ea09906dc01175a6994d7

Aliases

arxiv: 1603.00507 · arxiv_version: 1603.00507v4 · doi: 10.48550/arxiv.1603.00507 · pith_short_12: HJHQ6SPKLQQC · pith_short_16: HJHQ6SPKLQQC6YW3 · pith_short_8: HJHQ6SPK

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/HJHQ6SPKLQQC6YW3ZTOENGGBS7 \
  | 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: 3a4f0f49ea5c202f62dbccdc4698c197fcd9dbc6993ea09906dc01175a6994d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "694afa96b3525cfc2f003bc8a034db7bdb5cb3dff7fa3b0748ea5723b3bb55fa",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-03-01T22:11:50Z",
    "title_canon_sha256": "33ab4f3141f4c321c2d5f23dd6d19cfaf689cb526732eaec2df8a6f59998940e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00507",
    "kind": "arxiv",
    "version": 4
  }
}