Pith Number

pith:KEKPVWDU

pith:2017:KEKPVWDU7PEWAAPJR7U77U2DGD

not attested not anchored not stored refs pending

APS index theorem for even-dimensional manifolds with non-compact boundary

Maxim Braverman, Pengshuai Shi

arxiv:1708.08336 v3 · 2017-08-24 · 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{KEKPVWDU7PEWAAPJR7U77U2DGD}

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	2026-05-17T23:59:43.957699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5114fad874fbc96001e98fe9ffd34330fd06dd170e0fe5c5a72a26af01a303a9

Aliases

arxiv: 1708.08336 · arxiv_version: 1708.08336v3 · doi: 10.48550/arxiv.1708.08336 · pith_short_12: KEKPVWDU7PEW · pith_short_16: KEKPVWDU7PEWAAPJ · pith_short_8: KEKPVWDU

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/KEKPVWDU7PEWAAPJR7U77U2DGD \
  | 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: 5114fad874fbc96001e98fe9ffd34330fd06dd170e0fe5c5a72a26af01a303a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3a0316bf031aa3da3af2d390a2c924e07c30ed42357696436a79396ed1a110a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-08-24T19:26:21Z",
    "title_canon_sha256": "d9ad99ebe8eeb5733a1d4fdff2b525912c6d0cda0f86e702f8a46d60e6813472"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08336",
    "kind": "arxiv",
    "version": 3
  }
}