Pith Number

pith:Q6UDNAJK

pith:2011:Q6UDNAJKYBKCTPYUSS6EC2MHXS

not attested not anchored not stored refs pending

Index character associated to the projective Dirac operator

Makoto Yamashita

arxiv:1107.3007 v1 · 2011-07-15 · math.KT · 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{Q6UDNAJKYBKCTPYUSS6EC2MHXS}

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	2026-05-18T04:18:14.901466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87a836812ac05429bf1494bc416987bca8899ceed2b2d9270dfc4bf0620a0fe4

Aliases

arxiv: 1107.3007 · arxiv_version: 1107.3007v1 · doi: 10.48550/arxiv.1107.3007 · pith_short_12: Q6UDNAJKYBKC · pith_short_16: Q6UDNAJKYBKCTPYU · pith_short_8: Q6UDNAJK

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/Q6UDNAJKYBKCTPYUSS6EC2MHXS \
  | 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: 87a836812ac05429bf1494bc416987bca8899ceed2b2d9270dfc4bf0620a0fe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f864925e110a67f03ae8504d872061e9fa833cec775c5a0528e0779c6bfaf247",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-07-15T08:29:17Z",
    "title_canon_sha256": "315fd184fc15b7219581eb31e18546de30083b8f9cc294bb7b4b8ba69a1e9b3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3007",
    "kind": "arxiv",
    "version": 1
  }
}