Pith Number

pith:75VRSWPZ

pith:2005:75VRSWPZ6VTIS6P2IQYGDMSWI3

not attested not anchored not stored refs pending

Loop Groups and Twisted K-Theory II

Constantin Teleman, Daniel S. Freed, Michael J. Hopkins

arxiv:math/0511232 v3 · 2005-11-09 · math.AT · hep-th · math.KT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{75VRSWPZ6VTIS6P2IQYGDMSWI3}

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	2026-05-18T03:38:56.539615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff6b1959f9f5668979fa443061b25646ef66cc622d616731305535d2014e4903

Aliases

arxiv: math/0511232 · arxiv_version: math/0511232v3 · doi: 10.48550/arxiv.math/0511232 · pith_short_12: 75VRSWPZ6VTI · pith_short_16: 75VRSWPZ6VTIS6P2 · pith_short_8: 75VRSWPZ

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/75VRSWPZ6VTIS6P2IQYGDMSWI3 \
  | 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: ff6b1959f9f5668979fa443061b25646ef66cc622d616731305535d2014e4903

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4efad205d282e88faacf2ba53062ccc99874a84061fbcd7e9fb1cbf0415fa15",
    "cross_cats_sorted": [
      "hep-th",
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2005-11-09T17:00:44Z",
    "title_canon_sha256": "cfd87ce9f1380f7a6a2a0469b351f8a254dfb263f3b1dc327304bc4e52dbd1dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511232",
    "kind": "arxiv",
    "version": 3
  }
}