Pith Number

pith:WX7ARCDB

pith:1997:WX7ARCDB7RAUWZUTWNSLWUFHV7

not attested not anchored not stored refs pending

Bounded and $L^2$ Harmonic Forms on Universal Covers

K. D. Elworthy, Steven Rosenberg, Xue-Mei Li

arxiv:dg-ga/9704015 v1 · 1997-04-25 · dg-ga · 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{WX7ARCDB7RAUWZUTWNSLWUFHV7}

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	2026-05-18T01:15:30.580307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5fe088861fc414b6693b364bb50a7afcdd25d32d57479d9381eac1d6b39ba92

Aliases

arxiv: dg-ga/9704015 · arxiv_version: dg-ga/9704015v1 · doi: 10.48550/arxiv.dg-ga/9704015 · pith_short_12: WX7ARCDB7RAU · pith_short_16: WX7ARCDB7RAUWZUT · pith_short_8: WX7ARCDB

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/WX7ARCDB7RAUWZUTWNSLWUFHV7 \
  | 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: b5fe088861fc414b6693b364bb50a7afcdd25d32d57479d9381eac1d6b39ba92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c35336dec18f90a154e3cbc8f799b75ed56f950847500a4b1358dbd67ab2a09",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "dg-ga",
    "submitted_at": "1997-04-25T17:48:09Z",
    "title_canon_sha256": "7a8d2a96c2b58094c6cb71bd5938d0995e009cae0ebcf765af7887d12dd8776f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "dg-ga/9704015",
    "kind": "arxiv",
    "version": 1
  }
}