Pith Number

pith:6UPZHYLI

pith:2013:6UPZHYLIQVVI4V3MNEVEEQ6K3R

not attested not anchored not stored refs pending

Higher rho invariants and the moduli space of positive scalar curvature metrics

Guoliang Yu, Zhizhang Xie

arxiv:1310.1136 v2 · 2013-10-03 · math.OA · math.DG · math.GR · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6UPZHYLIQVVI4V3MNEVEEQ6K3R}

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	2026-05-18T02:44:31.888551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f51f93e168856a8e576c692a4243cadc7d39a8ece5e504dd0e3fe4a4235dc723

Aliases

arxiv: 1310.1136 · arxiv_version: 1310.1136v2 · doi: 10.48550/arxiv.1310.1136 · pith_short_12: 6UPZHYLIQVVI · pith_short_16: 6UPZHYLIQVVI4V3M · pith_short_8: 6UPZHYLI

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/6UPZHYLIQVVI4V3MNEVEEQ6K3R \
  | 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: f51f93e168856a8e576c692a4243cadc7d39a8ece5e504dd0e3fe4a4235dc723

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00fc97d49b387fa6356386c86f9cf88e2553674bdf80fe9d1deca4870ba27994",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-10-03T23:54:41Z",
    "title_canon_sha256": "237a9f92381973a0a27c96f027826d5b97e7687fc7c5fbcfc5b3ecc744e68708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1136",
    "kind": "arxiv",
    "version": 2
  }
}