Pith Number

pith:BVVCM3ZL

pith:2011:BVVCM3ZLA6DLS7NXYU5CSZRLKF

not attested not anchored not stored refs pending

Dirac-harmonic maps from index theory

Bernd Ammann, Nicolas Ginoux

arxiv:1110.1309 v2 · 2011-10-06 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BVVCM3ZLA6DLS7NXYU5CSZRLKF}

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	2026-05-18T01:29:11.987380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d6a266f2b0786b97db7c53a29662b5142f183bd02ebcea88ee30dd29e379647

Aliases

arxiv: 1110.1309 · arxiv_version: 1110.1309v2 · doi: 10.48550/arxiv.1110.1309 · pith_short_12: BVVCM3ZLA6DL · pith_short_16: BVVCM3ZLA6DLS7NX · pith_short_8: BVVCM3ZL

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/BVVCM3ZLA6DLS7NXYU5CSZRLKF \
  | 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: 0d6a266f2b0786b97db7c53a29662b5142f183bd02ebcea88ee30dd29e379647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cff7c649d96c79a8cff28b6795d2dbde60befb04a6ad0ba667c89755d21cbe1b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-10-06T16:12:16Z",
    "title_canon_sha256": "02f19d4200a576d49fcc04ffb6e95f4002119746e4de66d06655d31d26d38475"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1309",
    "kind": "arxiv",
    "version": 2
  }
}