Pith Number

pith:ERRAU4LY

pith:1998:ERRAU4LYCXBSKBYGTLS64BB7IM

not attested not anchored not stored refs pending

Vanishing theorems for the kernel of a Dirac operator

Maxim Braverman

arxiv:math/9805127 v2 · 1998-05-27 · math.DG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ERRAU4LYCXBSKBYGTLS64BB7IM}

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.

Cited by

1 paper in Pith

Obstructions to Spin(7) Nahm transforms on tori

Receipt and verification

First computed	2026-07-04T14:40:40.560633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24620a717815c32507069ae5ee043f431386e07b9bcf52bc87d64abb351a7148

Aliases

arxiv: math/9805127 · arxiv_version: math/9805127v2 · doi: 10.48550/arxiv.math/9805127 · pith_short_12: ERRAU4LYCXBS · pith_short_16: ERRAU4LYCXBSKBYG · pith_short_8: ERRAU4LY

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/ERRAU4LYCXBSKBYGTLS64BB7IM \
  | 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: 24620a717815c32507069ae5ee043f431386e07b9bcf52bc87d64abb351a7148

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8645e16c2211cf3317bbe1e22a25384a91d6f7670d78b7e0c155d08f060dd641",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1998-05-27T22:32:56Z",
    "title_canon_sha256": "24267c346f20af363603f623d1aebe101bf4f74ee77a66cba7f5b66cd8f85945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9805127",
    "kind": "arxiv",
    "version": 2
  }
}