Pith Number

pith:3R36XEKL

pith:2011:3R36XEKLG3IQ4BXHFOXRGLNFO7

not attested not anchored not stored refs pending

Infinite symmetry on the boundary of SL(3)/SO(3)

Heikki Arponen

arxiv:1111.2295 v4 · 2011-11-09 · hep-th · math-ph · math.DG · 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{3R36XEKLG3IQ4BXHFOXRGLNFO7}

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	2026-05-18T01:59:43.024219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc77eb914b36d10e06e72baf132da577eefed0e7c49182b0d40fe89f095da60b

Aliases

arxiv: 1111.2295 · arxiv_version: 1111.2295v4 · doi: 10.48550/arxiv.1111.2295 · pith_short_12: 3R36XEKLG3IQ · pith_short_16: 3R36XEKLG3IQ4BXH · pith_short_8: 3R36XEKL

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/3R36XEKLG3IQ4BXHFOXRGLNFO7 \
  | 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: dc77eb914b36d10e06e72baf132da577eefed0e7c49182b0d40fe89f095da60b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5ca18817efe383859b0f235ab3ee78bba407614f6633356c5d25350e8c8614c",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-11-09T18:05:36Z",
    "title_canon_sha256": "0e9e5cfb3289fd5769ebfc4ef89d095011d77a44ef1109f50e68efc812a5e657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2295",
    "kind": "arxiv",
    "version": 4
  }
}