Pith Number

pith:DEFB52YH

pith:2007:DEFB52YHBNU6LSLHDRMLMBTEOV

not attested not anchored not stored refs pending

Orbifold cup products and ring structures on Hochschild cohomologies

H.B. Posthuma, H.-H. Tseng, M.J. Pflaum, X. Tang

arxiv:0706.0027 v1 · 2007-05-31 · math.KT · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DEFB52YHBNU6LSLHDRMLMBTEOV}

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	2026-07-05T05:14:53.807139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

190a1eeb070b69e5c9671c58b606647571b393fcb0e4750a6cab4578196821e8

Aliases

arxiv: 0706.0027 · arxiv_version: 0706.0027v1 · doi: 10.48550/arxiv.0706.0027 · pith_short_12: DEFB52YHBNU6 · pith_short_16: DEFB52YHBNU6LSLH · pith_short_8: DEFB52YH

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/DEFB52YHBNU6LSLHDRMLMBTEOV \
  | 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: 190a1eeb070b69e5c9671c58b606647571b393fcb0e4750a6cab4578196821e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ded6d6bc11738681a6505e6e903a5fb4885d655fd10776b5fcc878a8afd91a42",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2007-05-31T22:11:25Z",
    "title_canon_sha256": "8d2d0b11c483bf2278b501b822cb28c1ef0fe04c7574993a5539eaf4d06be596"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0027",
    "kind": "arxiv",
    "version": 1
  }
}