Pith Number

pith:W7JYBBGZ

pith:2016:W7JYBBGZ22Y3TOQMUVOM2GHTEA

not attested not anchored not stored refs pending

Preservation of immersed or injective properties by composing generic generalized distance-squared mappings

Shunsuke Ichiki, Takashi Nishimura

arxiv:1610.02880 v1 · 2016-10-10 · 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{W7JYBBGZ22Y3TOQMUVOM2GHTEA}

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	2026-05-18T01:02:50.486389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7d38084d9d6b1b9ba0ca55ccd18f32039ee04d977b6bc20a455905306cf1266

Aliases

arxiv: 1610.02880 · arxiv_version: 1610.02880v1 · doi: 10.48550/arxiv.1610.02880 · pith_short_12: W7JYBBGZ22Y3 · pith_short_16: W7JYBBGZ22Y3TOQM · pith_short_8: W7JYBBGZ

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/W7JYBBGZ22Y3TOQMUVOM2GHTEA \
  | 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: b7d38084d9d6b1b9ba0ca55ccd18f32039ee04d977b6bc20a455905306cf1266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd71aa20750863672797bbe4ac9157f5e1b7f814372a668264b4b3e6e9b037c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-10-10T12:30:22Z",
    "title_canon_sha256": "3f4816f80175858fed1894b89f4860430adbdc6311614b7dd3006c809fda38f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02880",
    "kind": "arxiv",
    "version": 1
  }
}