Pith Number

pith:O54GJ4LE

pith:2015:O54GJ4LEGUV3OXCNOYFYSOG5RN

not attested not anchored not stored refs pending

The normalized second order renormalization group flow on closed surfaces

Volker Branding

arxiv:1503.07462 v1 · 2015-03-25 · math.DG · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O54GJ4LEGUV3OXCNOYFYSOG5RN}

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	2026-05-18T00:52:17.801865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

777864f164352bb75c4d760b8938dd8b681e1517cd255f736095041a233fbee2

Aliases

arxiv: 1503.07462 · arxiv_version: 1503.07462v1 · doi: 10.48550/arxiv.1503.07462 · pith_short_12: O54GJ4LEGUV3 · pith_short_16: O54GJ4LEGUV3OXCN · pith_short_8: O54GJ4LE

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/O54GJ4LEGUV3OXCNOYFYSOG5RN \
  | 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: 777864f164352bb75c4d760b8938dd8b681e1517cd255f736095041a233fbee2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb5d3632d8620b263294e7a5f524134c923cbb63c8fbfb0c1db7b17a6a07caa6",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-03-25T17:08:27Z",
    "title_canon_sha256": "fea87c5c0d5fd86965554e5eec7185e0a40c2620838d79f9cda233278da70bd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07462",
    "kind": "arxiv",
    "version": 1
  }
}