Pith Number

pith:QV5N3CQC

pith:2020:QV5N3CQC2TKYVUQ3ZIMECPVJKB

not attested not anchored not stored refs pending

Vector fields on projective Stiefel manifolds and the Browder-Dupont invariant

Julius Korbas, Peter Zvengrowski, Yanghyun Byun

arxiv:2011.10761 v1 · 2020-11-21 · 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{QV5N3CQC2TKYVUQ3ZIMECPVJKB}

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	2026-07-05T01:53:25.589116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

857add8a02d4d58ad21bca18413ea9507dd1384bb095cb05e91714067c517118

Aliases

arxiv: 2011.10761 · arxiv_version: 2011.10761v1 · doi: 10.48550/arxiv.2011.10761 · pith_short_12: QV5N3CQC2TKY · pith_short_16: QV5N3CQC2TKYVUQ3 · pith_short_8: QV5N3CQC

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/QV5N3CQC2TKYVUQ3ZIMECPVJKB \
  | 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: 857add8a02d4d58ad21bca18413ea9507dd1384bb095cb05e91714067c517118

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3861f1164e6d2382e5e6db244747bce2335132ba2a03ee6829fde8a4022b7371",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2020-11-21T10:45:55Z",
    "title_canon_sha256": "1b4cb8cc41398e0153209a2f2b3e061dc11a70a4d995b6839952adf836ec22c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.10761",
    "kind": "arxiv",
    "version": 1
  }
}