Pith Number

pith:JDCC3L7T

pith:2025:JDCC3L7TAF6TRHNUSQ2YIOUJEM

not attested not anchored not stored refs pending

Borel--Serre type bordifications and Canonical Pairs for Loop groups

Manish M. Patnaik, Punya Plaban Satpathy

arxiv:2507.13980 v1 · 2025-07-18 · math.RT · math.AT · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JDCC3L7TAF6TRHNUSQ2YIOUJEM}

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	2026-07-05T11:39:26.423064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48c42daff3017d389db49435843a89231f00291363718b62d664e9a6e4531316

Aliases

arxiv: 2507.13980 · arxiv_version: 2507.13980v1 · doi: 10.48550/arxiv.2507.13980 · pith_short_12: JDCC3L7TAF6T · pith_short_16: JDCC3L7TAF6TRHNU · pith_short_8: JDCC3L7T

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/JDCC3L7TAF6TRHNUSQ2YIOUJEM \
  | 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: 48c42daff3017d389db49435843a89231f00291363718b62d664e9a6e4531316

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c8244a2e1e82d12e441e230d5ffa44521510ea41f7e8db8ae23de639a533d54",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-07-18T14:43:16Z",
    "title_canon_sha256": "1b577eff9188914b86ec58a69cc681f44c439adf79be98673af81b9e3aa01430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13980",
    "kind": "arxiv",
    "version": 1
  }
}