Pith Number

pith:WERREGHF

pith:2019:WERREGHFZUS7FPD4RW7HNUC7F4

not attested not anchored not stored refs pending

A concordance analogue of the $4$-dimensional light bulb theorem

Maggie Miller

arxiv:1903.03055 v1 · 2019-03-07 · 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{WERREGHFZUS7FPD4RW7HNUC7F4}

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	2026-05-17T23:51:50.276394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1231218e5cd25f2bc7c8dbe76d05f2f25e0f5fda79d6c9415e99ec10fd33d8e

Aliases

arxiv: 1903.03055 · arxiv_version: 1903.03055v1 · doi: 10.48550/arxiv.1903.03055 · pith_short_12: WERREGHFZUS7 · pith_short_16: WERREGHFZUS7FPD4 · pith_short_8: WERREGHF

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/WERREGHFZUS7FPD4RW7HNUC7F4 \
  | 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: b1231218e5cd25f2bc7c8dbe76d05f2f25e0f5fda79d6c9415e99ec10fd33d8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1715fcb48e730e937f28a36165d0ac494d790c6308611dd56807c58b7687a67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-03-07T17:24:04Z",
    "title_canon_sha256": "e06eb1bf7c1f7c24417f8f19abc5196ee7c7913ce7c88a9e83adf536fac331e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03055",
    "kind": "arxiv",
    "version": 1
  }
}