Pith Number

pith:UILW5D6B

pith:2004:UILW5D6BGOTLV23Z7LUPUUMI5J

not attested not anchored not stored refs pending

Nonnegative pinching, moduli spaces and bundles with infinitely many souls

Anton Petrunin, Vitali Kapovitch, Wilderich Tuschmann

arxiv:math/0411179 v2 · 2004-11-08 · 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{UILW5D6BGOTLV23Z7LUPUUMI5J}

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	2026-05-17T23:59:44.867235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2176e8fc133a6baeb79fae8fa5188ea7a313f87996dc569ee667ae2151e4f43

Aliases

arxiv: math/0411179 · arxiv_version: math/0411179v2 · doi: 10.48550/arxiv.math/0411179 · pith_short_12: UILW5D6BGOTL · pith_short_16: UILW5D6BGOTLV23Z · pith_short_8: UILW5D6B

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/UILW5D6BGOTLV23Z7LUPUUMI5J \
  | 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: a2176e8fc133a6baeb79fae8fa5188ea7a313f87996dc569ee667ae2151e4f43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cd8fd4ae759bfa8d1377b6d183419646e5d0b619a8025b7f9aca2028a9d516b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2004-11-08T21:19:21Z",
    "title_canon_sha256": "74c5098ce2dab51d5a57d5808b396f0872c4bd907f9dc029c47f3c02c5d9b20f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411179",
    "kind": "arxiv",
    "version": 2
  }
}