Pith Number

pith:JQTPNI6M

pith:2013:JQTPNI6MTSZZHOSCV5T3P434XH

not attested not anchored not stored refs pending

Discrete M\"obius Energy

Sebastian Scholtes

arxiv:1311.3056 v3 · 2013-11-13 · math.GT · math.CA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQTPNI6MTSZZHOSCV5T3P434XH}

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	2026-05-18T02:51:41.968657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c26f6a3cc9cb393ba42af67b7f37cb9f42f31c73293288c740f06b083d4471c

Aliases

arxiv: 1311.3056 · arxiv_version: 1311.3056v3 · doi: 10.48550/arxiv.1311.3056 · pith_short_12: JQTPNI6MTSZZ · pith_short_16: JQTPNI6MTSZZHOSC · pith_short_8: JQTPNI6M

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/JQTPNI6MTSZZHOSCV5T3P434XH \
  | 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: 4c26f6a3cc9cb393ba42af67b7f37cb9f42f31c73293288c740f06b083d4471c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e369b8240808a2084c69594b10f1e6f5b751cffdc908ae6260ce0e109bcebbd2",
    "cross_cats_sorted": [
      "math.CA",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-11-13T09:27:59Z",
    "title_canon_sha256": "59089ba58d223a410d0cf863daf70881cc90d678399c702dd8b6264b500c8fd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3056",
    "kind": "arxiv",
    "version": 3
  }
}