Pith Number

pith:CLMIJBPB

pith:2016:CLMIJBPBV662FF63V4WJLRHBR6

not attested not anchored not stored refs pending

Non-existence of polyhedral immersions of triangulated surfaces in $\mathbb{R}^3$

Undine Leopold

arxiv:1606.04848 v1 · 2016-06-15 · 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{CLMIJBPBV662FF63V4WJLRHBR6}

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	2026-05-18T01:12:23.275494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12d88485e1afbda297dbaf2c95c4e18faf4fa5fb56586f360c5dcff02066e7af

Aliases

arxiv: 1606.04848 · arxiv_version: 1606.04848v1 · doi: 10.48550/arxiv.1606.04848 · pith_short_12: CLMIJBPBV662 · pith_short_16: CLMIJBPBV662FF63 · pith_short_8: CLMIJBPB

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/CLMIJBPBV662FF63V4WJLRHBR6 \
  | 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: 12d88485e1afbda297dbaf2c95c4e18faf4fa5fb56586f360c5dcff02066e7af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6df40711c2c0da7037a66189bf766f776b376249edd189c017efa4010156c4ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-06-15T16:33:51Z",
    "title_canon_sha256": "61864a60d885c7d2ccc6942674e9631ab80887f57a274db53fb125708a8d9b9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04848",
    "kind": "arxiv",
    "version": 1
  }
}