Pith Number

pith:ZVYIK532

pith:2013:ZVYIK532MGXSD5O6YIJCIUFD65

not attested not anchored not stored refs pending

Homological Stability For Moduli Spaces of Odd Dimensional Manifolds

Nathan Perlmutter

arxiv:1311.5648 v3 · 2013-11-22 · math.AT · 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{ZVYIK532MGXSD5O6YIJCIUFD65}

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	2026-05-18T02:59:05.851191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd7085777a61af21f5dec2122450a3f752473c7c3ad083edee540887d94933e2

Aliases

arxiv: 1311.5648 · arxiv_version: 1311.5648v3 · doi: 10.48550/arxiv.1311.5648 · pith_short_12: ZVYIK532MGXS · pith_short_16: ZVYIK532MGXSD5O6 · pith_short_8: ZVYIK532

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/ZVYIK532MGXSD5O6YIJCIUFD65 \
  | 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: cd7085777a61af21f5dec2122450a3f752473c7c3ad083edee540887d94933e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "493fa9d43818b48b5f67bc95a3cd9a3e27ffaf8ba7042badbd16fa07e18c1d47",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-11-22T03:52:34Z",
    "title_canon_sha256": "86e407e6cf28e506accf041209f01679e6e56e1ba329b4785a49d42bc5bc855c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5648",
    "kind": "arxiv",
    "version": 3
  }
}