Pith Number

pith:CJ3NGYTE

pith:2009:CJ3NGYTEPANQKFKGJLJAKT36TR

not attested not anchored not stored refs pending

Renormalization group trajectories between two fixed points

Abdelmalek Abdesselam

arxiv:0910.1063 v1 · 2009-10-06 · math-ph · 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{CJ3NGYTEPANQKFKGJLJAKT36TR}

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	2026-05-18T00:37:23.202805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1276d36264781b0515464ad2054f7e9c72ef97b0bf26856d8151d5d262874985

Aliases

arxiv: 0910.1063 · arxiv_version: 0910.1063v1 · doi: 10.48550/arxiv.0910.1063 · pith_short_12: CJ3NGYTEPANQ · pith_short_16: CJ3NGYTEPANQKFKG · pith_short_8: CJ3NGYTE

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/CJ3NGYTEPANQKFKGJLJAKT36TR \
  | 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: 1276d36264781b0515464ad2054f7e9c72ef97b0bf26856d8151d5d262874985

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d78df57decc24405493ac4b7f049dd3a803fa1123ff5dec6537ce3247adb2d4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-10-06T17:40:39Z",
    "title_canon_sha256": "138f886b75d207fb318ca8e93ed7ed2887e2f1830aeb4c407bb5dfc7781ad8ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1063",
    "kind": "arxiv",
    "version": 1
  }
}