Pith Number

pith:NAITDOCQ

pith:1994:NAITDOCQIGXDZM6BEQQ4J3EEM3

not attested not anchored not stored refs pending

Recurrence relations and asymptotics for four-manifold invariants

Peter B. Kronheimer, Tomasz S. Mrowka

arxiv:math/9404232 v1 · 1994-04-01 · math.GT · 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{NAITDOCQIGXDZM6BEQQ4J3EEM3}

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	2026-05-18T01:05:51.424190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

681131b85041ae3cb3c12421c4ec8466da97c1b72e47ea462b8ad24472cdb9e6

Aliases

arxiv: math/9404232 · arxiv_version: math/9404232v1 · doi: 10.48550/arxiv.math/9404232 · pith_short_12: NAITDOCQIGXD · pith_short_16: NAITDOCQIGXDZM6B · pith_short_8: NAITDOCQ

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/NAITDOCQIGXDZM6BEQQ4J3EEM3 \
  | 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: 681131b85041ae3cb3c12421c4ec8466da97c1b72e47ea462b8ad24472cdb9e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8528adc9728dee7dec9c29a358ee5e7d67efa6f2dab861c29cecd3d30f6bd66a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1994-04-01T00:00:00Z",
    "title_canon_sha256": "a961860de3ec55cb019c9b973e110701e23ed44379caf9d68846a1bafe0b16d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9404232",
    "kind": "arxiv",
    "version": 1
  }
}