Pith Number

pith:U4BNDP4J

pith:2016:U4BNDP4JRPTPMFWVIXUV7VOFGG

not attested not anchored not stored refs pending

Composing generic linearly perturbed mappings and immersions/injections

Shunsuke Ichiki

arxiv:1612.01100 v3 · 2016-12-04 · 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{U4BNDP4JRPTPMFWVIXUV7VOFGG}

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	2026-05-18T00:27:21.995792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a702d1bf898be6f616d545e95fd5c531b4183e35834c372e374b15c4f27ae5f3

Aliases

arxiv: 1612.01100 · arxiv_version: 1612.01100v3 · doi: 10.48550/arxiv.1612.01100 · pith_short_12: U4BNDP4JRPTP · pith_short_16: U4BNDP4JRPTPMFWV · pith_short_8: U4BNDP4J

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/U4BNDP4JRPTPMFWVIXUV7VOFGG \
  | 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: a702d1bf898be6f616d545e95fd5c531b4183e35834c372e374b15c4f27ae5f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c73f98fb43c29f0c1d37c1f43428b3dd041dd1460531c75a720b7716bb129ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-12-04T11:13:14Z",
    "title_canon_sha256": "feaafb26c97bc3180b055f3c3874f1e55691d38cba6be6d0f34646cee585209e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01100",
    "kind": "arxiv",
    "version": 3
  }
}