Pith Number

pith:4GTAATYC

pith:2017:4GTAATYCUZANOVEAA5Q75CZPAJ

not attested not anchored not stored refs pending

On the set of optimal homeomorphisms for the natural pseudo-distance associated with the Lie group S^1

Alessandro De Gregorio

arxiv:1703.01439 v1 · 2017-03-04 · cs.CG · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GTAATYCUZANOVEAA5Q75CZPAJ}

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	2026-05-18T00:49:30.735111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1a6004f02a640d754800761fe8b2f024ad8e31bc2451ed72113624ed4a0ec11

Aliases

arxiv: 1703.01439 · arxiv_version: 1703.01439v1 · doi: 10.48550/arxiv.1703.01439 · pith_short_12: 4GTAATYCUZAN · pith_short_16: 4GTAATYCUZANOVEA · pith_short_8: 4GTAATYC

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/4GTAATYCUZANOVEAA5Q75CZPAJ \
  | 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: e1a6004f02a640d754800761fe8b2f024ad8e31bc2451ed72113624ed4a0ec11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f81079923732fb1456c1776ab3f3c063b9b194e30b062c8e5287e53f8f4e488",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2017-03-04T10:59:56Z",
    "title_canon_sha256": "16569d4f411f53a2663bd788c00e8aebc67a1f6d391aad5958874c3ca3cea113"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01439",
    "kind": "arxiv",
    "version": 1
  }
}