Pith Number

pith:ILFCXC2O

pith:1999:ILFCXC2O2EH4SS6PMQM66J6WD4

not attested not anchored not stored refs pending

Positive and negative results concerning the Gromov-Lawson-Rosenberg conjecture

Michael Joachim, Thomas Schick

arxiv:math/9903007 v2 · 1999-03-01 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILFCXC2O2EH4SS6PMQM66J6WD4}

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	2026-05-17T23:59:44.805518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42ca2b8b4ed10fc94bcf6419ef27d61f190d59e974b5b5d11d2d324988ae24f4

Aliases

arxiv: math/9903007 · arxiv_version: math/9903007v2 · doi: 10.48550/arxiv.math/9903007 · pith_short_12: ILFCXC2O2EH4 · pith_short_16: ILFCXC2O2EH4SS6P · pith_short_8: ILFCXC2O

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/ILFCXC2O2EH4SS6PMQM66J6WD4 \
  | 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: 42ca2b8b4ed10fc94bcf6419ef27d61f190d59e974b5b5d11d2d324988ae24f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a7d2754a3d312f091fbb300ec9bc91e4ece7f5c5cd1925c63a2379362c76e71",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1999-03-01T17:03:11Z",
    "title_canon_sha256": "35434d5833176921009c3d1a618605912c3fa29629e6bd9f4dea41b0c27cd4e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9903007",
    "kind": "arxiv",
    "version": 2
  }
}