Pith Number

pith:RMUHM6HP

pith:2018:RMUHM6HPYUU2GHGFRDA2RAJZZE

not attested not anchored not stored refs pending

On the entropy norm on the group of diffeomorphisms of closed oriented surface

Arpan Kabiraj, Michael Brandenbursky

arxiv:1802.06376 v1 · 2018-02-18 · math.GT · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RMUHM6HPYUU2GHGFRDA2RAJZZE}

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	2026-05-18T00:23:03.417100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b287678efc529a31cc588c1a88139c93c65e8d76bdc992e9260d96294a60078

Aliases

arxiv: 1802.06376 · arxiv_version: 1802.06376v1 · doi: 10.48550/arxiv.1802.06376 · pith_short_12: RMUHM6HPYUU2 · pith_short_16: RMUHM6HPYUU2GHGF · pith_short_8: RMUHM6HP

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/RMUHM6HPYUU2GHGFRDA2RAJZZE \
  | 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: 8b287678efc529a31cc588c1a88139c93c65e8d76bdc992e9260d96294a60078

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32e75eb90fdafe5e4127837d93abb55000194aad54f5af27b29d3c0540e20872",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-02-18T13:35:47Z",
    "title_canon_sha256": "54ba4707afe1d7f15eb9c1c63d25b3df5141dd82304b52da25ff55ad19b6b95e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06376",
    "kind": "arxiv",
    "version": 1
  }
}